publications
Publications of all group members and guests with PKS affiliation
Prediction error growth in a more realistic atmospheric toy model with three spatiotemporal scales Passive tracer advection in the equatorial Pacific region: statistics, correlations, and a model of fractional Brownian motion Statistical inference of one-dimensional persistent nonlinear time series and application to predictions Nonergodicity of reset geometric Brownian motion Many-body localization transition from flat-band fine tuning |
Moses, Noah and Joseph Effects in Lévy Walks Leveraging large-deviation statistics to decipher the stochastic properties of measured trajectories Work fluctuation theorem for a brownian particle in a non confining potential Characterizing variability and predictability for air pollutants with stochastic models Role of thermal fluctuations in biological copying mechanisms Time reversal symmetry and the difference between relaxations and building-up periods Anomalous diffusion in the citation time series of scientific publications Benchmarking prediction skill in binary El Niño forecasts Using Climate Factors to Estimate Flood Economic Loss Risk Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes Inertia triggers nonergodicity of fractional Brownian motion Combined wind-solar electricity production potential over north-western Africa A new argument against cooling by convective air eddies formed above sunlit zebra stripes Laboratory experiments on the influence of stratification and a bottom sill on seiche damping Scaled geometric Brownian motion features sub- or superexponential ensemble-averaged, but linear time-averaged mean-squared displacements Objective comparison of methods to decode anomalous diffusion Extremes and extremal indices for level set observables on hyperbolic systems Logistic map trajectory distributions: Renormalization-group, entropy, and criticality at the transition to chaos Fragile many-body ergodicity from action diffusion Nonlinear caging in all-bands-flat lattices Quantum caging in interacting many-body all-bands-flat lattices |
Data-driven model of the power-grid frequency dynamics Stochastic properties of the frequency dynamics in real and synthetic power grids Identifying characteristic timescales in power grid frequency fluctuations with DFA Probabilistic properties of detrended fluctuation analysis for Gaussian processes Robust regional clustering and modeling of nonstationary summer temperature extremes across Germany Stochastic resonance and hysteresis in climate with state dependent fluctuations An ARFIMA-based model for daily precipitation amounts with direct access to fluctuations Evolution and Transformation of Scientific Knowledge over the Sphaera Corpus: A Network Study Rare Events in Complex Systems Spring onset forecast using harmonic analysis on daily mean temperature in Germany On star-convex volumes in 2-D hydrodynamical flows and their relevance for coherent transport On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time Bulbous perennials precisely detect the length of winter and adjust flowering dates Bottom-to-top decomposition of time series by smoothness-controlled cubic splines: Uncovering distinct freezing-melting dynamics between the Arctic and the Antarctic Infinite ergodic theory meets Boltzmann statistics Casting dissipative compact states in coherent perfect absorbers Many-body flatband localization |
The Emergence of Epistemic Communities in the Sphaera Corpus: Mechanisms of Knowledge Evolution Apparent Violations of the second law in two-level systems Logical response induced by temperature asymmetry A simple decomposition of European temperature variability capturing the variance from days to a decade Power law error growth in multi-hierarchical chaotic systems – a dynamical mechanism for finite prediction horizon Inferring characteristic timescales from the effect of autoregressive dynamics on detrended fluctuation analysis Theoretical foundation of detrending methods for fluctuation analysis such as detrended fluctuation analysis and detrending moving average Critical fluctuations and slowing down of chaos Differences in Structure and Dynamics of Networks Retrieved From Dark and Public Web Forums |
Theoretical foundation of detrending methods for fluctuation analysis such as detrended fluctuation analysis and detrending moving average |
Large deviations of time-averaged statistics for Gaussian processes |
Heterogeneous diffusion in comb and fractal grid structures |
Anomalous diffusion and the Moses effect in an aging deterministic model |
Reproducing Long-Range Correlations in Global Mean Temperatures in Simple Energy Balance Models |
Large-deviation probabilities for correlated Gaussian processes and intermittent dynamical systems |
An extended transfer operator approach to identify separatrices in open flows Stability of Glassy Hierarchical Networks Discrete-time model for a motion of substance in a channel of a network with application to channels of human migration Distributed-order wave equations with composite time fractional derivative Emergence of a spectral gap in a class of random matrices associated with split graphs On the motion of substance in a channel of a network and human migration Quantum steering with positive operator valued measures Ubiquity of collective irregular dynamics in balanced networks of spiking neurons |
Ageing effects in ultraslow continuous time random walks
A. V. Chechkin, H. Kantz, R. Metzler
Eur. Phys. J. B, vol. 90, no. 11, 205, Nov. 2017
Anomalous diffusion on a fractal mesh
T. Sandev, A. Iomin, H. Kantz
Phys. Rev. E, vol. 95, no. 5, 052107, 2017
Asymmetry of cross-correlations between intra-day and overnight volatilities
R. Zadourian, P. Grassberger
EPL: a letters journal exploring the frontiers of physics, vol. 118, no. 1, 18004, Apr. 2017
Beyond monofractional kinetics
T. Sandev, I. M. Sokolov, R. Metzler, A. Chechkin
Chaos, Solitons and Fractals, vol. 102, pp. 210-217, Sep. 2017
Early warning signal for interior crises in excitable systems
R. Karnatak, H. Kantz, S. Bialonski
Phys. Rev. E, vol. 96, no. 4, 042211, Oct. 2017
Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection
J. Pratt, A. Busse, W. Mueller, N. W. Watkins, S. C. Chapman
New J. Phys., vol. 19, 065006, Jun. 2017
Generalized Langevin equation with tempered memory kernel
A. Liemert, T. Sandev, H. Kantz
Physica A: Statistical Mechanics and its Applications, vol. 466, pp. 356-369, Jan. 2017
Infinite invariant densities due to intermittency in a nonlinear oscillator
P. Meyer, H. Kantz
Phys. Rev. E, vol. 96, no. 2, 022217, Aug. 2017
Inverse statistical problems: from the inverse Ising problem to data science
H. Nguyen, R. Zecchina, J. Berg
Advances in Physics, vol. 66, no. 3, pp. 197-261, Jun. 2017
Mandelbrot’s 1/f Fractional Renewal Models of 1963–67: The Non-ergodic Missing Link Between Change Points and Long Range Dependence
N. W. Watkins
Advances in Time Series Analysis and Forecasting: selected contributions from ITISE 2016, 2017.
On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/cosh(n)(alpha x plus beta t)
N. K. Vitanov, Z. I. Dimitrova, T. I. Ivanova
Applied Mathematics and Computation, vol. 315, pp. 372-380, Dec. 2017
Pure steered states of Einstein-Podolsky-Rosen steering
H. Nguyen, K. Luoma
Phys. Rev. A, vol. 95, no. 4, 042117, 2017
Scale-invariant Green-Kubo relation for time-averaged diffusivity
P. Meyer, E. Barkai, H. Kantz
Phys. Rev. E, vol. 96, no. 6, 062122, Dec. 2017
Stochastic dynamics and the predictability of big hits in online videos
J. M. Miotto, H. Kantz, E. G. Altmann
Phys. Rev. E, vol. 95, no. 3, 032311, Mar. 2017
Transition to reconstructibility in weakly coupled networks
B. Lünsmann, C. Kirst, M. Timme
PLoS One, vol. 12, no. 10, e0186624, Oct. 2017
N. W. Watkins, G. Pruessner, S. C. Chapman, N. B. Crosby, H. J. Jensen
25 Years of Self-organized Criticality: Concepts and Controversies
Space Sci Rev, vol. 198, no. 1-4, pp. 3-44, Jan. 2016
Y. Zhou, A. Chechkin, I. M. Sokolov, H. Kantz
A model of return intervals between earthquake events
Europhysics Letters, vol. 114, no. 6, 60003, Jun. 2016
J. T. C. Schwabedal, M. Riedl, T. Penzel, N. Wessel
Alpha-wave frequency characteristics in health and insomnia during sleep
Journal of sleep research, vol. 25, no. 3, pp. 278-286, Jul. 2016
N. K. Vitanov, K. N. Vitanov
Box model of migration channels
Mathematical Social Sciences, vol. 80, pp. 108-114, Mar. 2016
T. Sandev, A. Iomin, H. Kantz, R. Metzler, A. Chechkin
Comb Model with Slow and Ultraslow Diffusion
MMNP, vol. 11, no. 3, pp. 18-33, Jun. 2016
M. Massah, H. Kantz
Confidence intervals for time averages in the presence of long-range correlations,
a case study on Earth surface temperature anomalies
GRL, vol. 43, no. 17, pp. 9243-9249, Sep. 2016
M. Höll, H. Kantz, Y. Zhou
Detrended fluctuation analysis and the difference between external drifts
and intrinsic diffusionlike nonstationarity
Phys. Rev. E, vol. 94, no. 4, 042201, Oct. 2016
F. Böttcher, H. Kantz
Die Niederschläge auf dem Fichtelberg
10. Annaberger Klimatage 2016: 11. - 12. Mai 2016 in Annaberg-Buchholz;
Tagungsband mit Beiträgen anlässlich der Gründung der Wetterwarte Fichtelberg
vor 100 Jahren, pp. 96-104, 2016.
T. Sandev, I. Petreska, E. K. Lenzi
Effective Potential from the Generalized Time-Dependent Schrodinger Equation
Mathematics : open access journal, vol. 4, no. 4, 59, Dec. 2016
R. Zadourian, D. B. Saakian, A. Kluemper
Exact probability distribution functions for Parrondo's games
Phys. Rev. E, vol. 94, no. 6, 060102, Dec. 2016
T. Sandev, A. Iomin, V. Mendez
Levy processes on a generalized fractal comb
Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 35, 355001, Sep. 2016
A. Iomin, T. Sandev
Levy Transport in Slab Geometry of Inhomogeneous Media
MMNP, vol. 11, no. 3, pp. 51-62, Jun. 2016
H. Nguyen, V. Thanh
Nonseparability and steerability of two-qubit states from the geometry of steering outcomes
Phys. Rev. A, vol. 94, no. 1, 012114, Jul. 2016
Y. Zhou, M. Luo, Y. Leung
On the detection of precipitation dependence on temperature
GRL, vol. 43, no. 9, pp. 4555-4565, May. 2016
J. T. C. Schwabedal, H. Kantz
Optimal Extraction of Collective Oscillations from Unreliable Measurements
Phys. Rev. Lett., vol. 116, no. 10, 104101, Mar. 2016
S. Bialonski, D. A. Caron, J. Schloen, U. Feudel, H. Kantz, S. D. Moorthi
Phytoplankton dynamics in the Southern California Bight indicate a complex
mixture of transport and biology
Journal of Plankton Research, vol. 38, no. 4, pp. 1077-1091, 2016
S. Siegert, H. Kantz
Prediction of Complex Dynamics: Who Cares About Chaos? in:
Chaos Detection and Predictability, Skokos, Gottwald, Laskar eds., Springer, 2016.
J. T. C. Schwabedal, D. E. Knapper, A. L. Shilnikov
Qualitative and quantitative stability analysis of penta-rhythmic circuits
Nonlinearity, vol. 29, no. 12, pp. 3647-3676, Dec. 2016
H. Kantz
Rare and Extreme Events, in: Reproducibility: principles, problems, practices, and prospects,
Atmanspacher ed., Springer 2016.
M. Niemann, E. Barkai, H. Kantz
Renewal Theory for a System with Internal States
MMNP, vol. 11, no. 3, pp. 191-239, Jun. 2016
N. K. Vitanov
Science Dynamics and Research Production
Phys. Rev. A, vol. 93, no. 2, 022709, 2016.
A. Deluca, P. Puig, A. Corral
Testing universality in critical exponents: The case of rainfall
Phys. Rev. E, vol. 93, no. 4, 042301, Apr. 2016
Bialonski, S., G. Ansmann and H. Kantz: Data-driven prediction and prevention of extreme events in a spatially extended excitable system. Physical Review E 92 042910 (2015).
Bodrova, A., A.V. Chechkin, A.G. Cherstvy and R. Metzler: Quantifying non-ergodic dynamics of force-free granular gases. Physical Chemistry, Chemical Physics 17, 21791-21798 (2015).
Bradley, E. and H. Kantz: Nonlinear time-series analysis revisited. Chaos 25, 097610 (2015).
Chapman, S.C., R.O. Dendy, T.N. Todd, N.W. Watkins, F.A. Calderon and J. Morris: The global build-up to intrinsic edge localized mode bursts seen in divertor full flux loops in JET. Physics of Plasmas 22, 072506 (2015).
Deluca, A., N.R. Moloney and A. Corral: Data-driven prediction of thresholded time series of rainfall and self-organized criticality models. Physical Review E 91, 052808 (2015).
Freethy, S.J., K.G. McClements, S.C. Chapman, R.O. Dendy, W.N. Lai, S.J.P. Pamela, V.F. Shevchenko and R.G.L. Vann: Electron Kinetics Inferred from Observations of Microwave Bursts During Edge Localized Modes in the Mega-Amp Spherical Tokamak. Physical Review Letters 114, 125004 (2015).
Geier, C., S. Bialonski, C.E. Elger and K. Lehnertz: How important is the seizure onset zone for seizure dynamics? Seizure 25, 160-166 (2015).
Geier, C., K. Lehnertz and S. Bialonski: Time-dependent degree-degree correlations in epileptic brain networks: from assortative to dissortative mixing. Frontiers in Human Neuroscience 9, 462 (2015).
Granger, L., J. Mehlis, E. Roldan, S. Ciliberto and H. Kantz: Fluctuation theorem between non-equilibrium states in an RC circuit. New Journal of Physics 17, 065005 (2015).
Hennig, D., C. Mulhern, L. Schimansky-Geier, G.P. Tsironis, and P. Hänggi: Cooperative surmounting of bottlenecks. Physics Reports, 586, 1-51 (2015).
Höll, M. and H. Kantz: The fluctuation function of the detrended fluctuation analysis - investigation on the AR(1) process. European Physical Journal B 88, 126 (2015).
Höll, M. and H. Kantz: The relationship between the detrendend fluctuation analysis and the autocorrelation function of a signal. European Physical Journal B 88, 327 (2015).
Karnatak, R.: Linear augmentation for stabilizing stationary solutions: Potential pitfalls and their application. PLoS One 10, e0142238 (2015).
Luo, M., H. Kantz, N.C. Lau, W.W. Huang and Y. Zhou: Questionable dynamical evidence for causality between galactic cosmic rays and interannual variation in global temperature. Proceedings of the National Academy of Sciences of the United States of America 112, E4638-E4639 (2015).
Mulhern, C., S. Bialonski and H. Kantz: Extreme events due to localization of energy. Physical Review E 91, 012918 (2015).
Safdari, H., A.V. Chechkin, G.R. Jafari and R. Metzler: Aging scaled Brownian motion. Physical Review E 91, 042107 (2015).
Sandev, T., A. Chechkin, H. Kantz, R. Metzler: Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. Fractional Calculus and Applied Analysis 18, 1006-1038 (2015).
Sandev, T., A.V. Chechkin, N. Korabel, H. Kantz, I.M. Sokolov and R. Metzler: Distributed-order diffusion equations and multifractality: Models and solutions. Physical Review E 92, 042117 (2015).
Sandev, T., A. Iomin and H. Kantz: Fractional diffusion on a fractal grid comb. Physical Review E 91, 032108 (2015).
Vitanov, N.K., Z.I. Dimitrova and K.N. Vitanov: Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications. Applied Mathematics and Computation 269 363-378 (2015).
Batac, R.C. and H. Kantz: Observing spatio-temporal clustering and separation using interevent distributions of regional earthquakes. Nonlinear Processes in Geophysics 21, 735-744 (2014).
Carbajal L., R.O. Dendy, S.C. Chapman and J.W.S. Cook: Linear and nonlinear physics of the magnetoacoustic cyclotron instability of fusion-born ions in relation to ion cyclotron emission. Physics of Plasmas 21, 012106 (2014).
Chapman, S.C., R.O. Dendy, T.N. Todd, N.W. Watkins, A.J. Webster, F. Calderon, J. Morris and JET EFDA Contributors: Relationship of edge localized mode burst times with divertor flux loop signal phase in JET. Physics of Plasmas 21, 062302 (2014).
Chapman, S.C., R.O. Dendy, A.J. Webster, N.W. Watkins, T.N. Todd, J. Morris and JET EFDA Contributors: An apparent relation between ELM occurrence times and the prior phase evolution of divertor flux loop measurements in JET. EPS-41st EPS Conference on Plasma Physics 38, P1.00 (2014).
Chechkin, A.V. and I. Pavlyukevich: Marcus versus Stratonovich for systems with jump noise. Journal of Physics A 47, 342001 (2014).
Gaveau, B., L. Granger, M. Moreau and L.S. Schulman: Dissipation, interaction, and relative entropy. Physical Review E 89, 032107 (2014).
Gaveau, B., L. Granger, M. Moreau and L.S. Schulman: Relative Entropy, Interaction Energy and the Nature of Dissipation. Entropy 16, 3173-3206 (2014).
Godec, A., A.V. Chechkin, E. Barkai, H. Kantz and R. Metzler: Localisation and universal fluctuations in ultraslow diffusion processes. Journal of Physics A 47, 492002 (2014).
Gundermann, J., S. Siegert and H. Kantz: Improved predictions of rare events using the Crooks fluctuation theorem. Physical Review E 89, 032112 (2014).
Hennig, D. and C. Mulhern: Nonlinear chains inside walls. Physica D 283, 29-36 (2014).
Hennig, D., C. Mulhern, A.D. Burbanks and L. Schimansky-Geier: Nonlinear response of a linear chain to weak driving. Physical Review E 89, 012906 (2014).
Jeon, J.H., A.V. Chechkin and R. Metzler: First Passage Behavior of Multi-Dimensional Fractional Brownian Motion and Application to Reaction Phenomena. In: First Passage Phenomena and Their Applications. R. Metzler, G. Oshanin, S. Redner (Eds:). Singapore: World Scientific, 2014. S. 175-202.
Jeon, J.H., A.V. Chechkin and R. Metzler: Scaled Brownian motion: a paradoxical process with a time dependent diffusivity for the description of anomalous diffusion. Physical Chemistry Chemical Physics 16, 15811-15817 (2014).
Nezhadhaghighi, M.G., A. Chechkin and R. Metzler: Numerical approach to unbiased and driven generalized elastic model. Journal of Chemical Physics 140, 024106 (2014).
Palyulin, V.V., A.V. Chechkin and R. Metzler: Lévy flights do not always optimize random blind search for sparse targets. Proceedings of the National Academy of Sciences of the United States of America 111, 2931-2936 (2014).
Palyulin, V.V., A.V. Chechkin and R. Metzler: Space-fractional Fokker-Planck equation and optimization of random search processes in the presence of an external bias. Journal of Statistical Mechanics, P11031 (2014).
Sandev, T., I. Petreska and E.K. Lenzi: Time-dependent Schrodinger-like equation with nonlocal term. Journal of Mathematical Physics 55, 092105 (2014).
Sartori, P., L. Granger, C.F. Lee and J.M. Horowitz: Thermodynamic Costs of Information Processing in Sensory Adaptation. PLoS Computational Biology 10, e1003974 (2014).
Vitanov, N.K. and Z.I. Dimitrova: Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives. Applied Mathematics and Computation 247, 213-217 (2014).
Vitanov, N.K., N.P. Hoffmann and B. Wernitz: Nonlinear time series analysis of vibration data from a friction brake: SSA, PCA, and MFDFA. Chaos Solitons & Fractals 69, 90-99 (2014).
Kuhnert M. T., Bialonski S., Noennig N., Mai H., Hinrichs H., Helmstaedter C., Lehnertz K.: Incidental and intentional learning of verbal episodic material differentially modifies functional brain networks. Plos One 8, e80273 (2013).
Bialonski, S. and K. Lehnertz: Assortative mixing in functional brain networks during epileptic seizures. Chaos 23, 033139 (2013).
Bodai, T., E.G. Altmann and A. Endler: Stochastic perturbations in open chaotic systems: Random versus noisy maps. Physical Review E 87, 042902 (2013).
Bodai, T., G. Karolyi and T. Tel: Driving a conceptual model climate by different processes: Snapshot attractors and extreme events. Physical Review E 87, 022822 (2013).
Chechkin, A.V., I.M. Zaid, M.A. Lomholt, I.M. Sokolov and R. Metzler: Bulk-mediated Surface Diffusion on a Cylinder in the Fast Exchange Limit. Mathematical Modelling of Natural Phenomena 8, 114-126 (2013).
Denisov, S.I., Yu.S. Bystrik and H. Kantz: Limiting distributions of continuous-time random walks with superheavy-tailed waiting times. Physical Review E 87, 022117 (2013).
Grassberger, P.: On the continuum time limit of reaction-diffusion systems. EPL 103, 50009 (2013).
Grassberger, P.: Polymer collapse and crystallization in bond fluctuation models. EPL 103, 26003 (2013).
Grassberger, P.: Two-Dimensional SIR Epidemics with Long Range Infection. Journal of Statistical Physics 153, 289-311 (2013).
Gundermann, J., H. Kantz and J. Broecker: Crooks Fluctuation Theorem for a Process on a Two-Dimensional Fluid Field. Physical Review Letters 110, 234502 (2013).
Hennig, D., C. Mulhern and A.D. Burbanks: From strong chaos via weak chaos to regular behaviour: Optimal interplay between chaos and order. Physica D 253, 102-110 (2013).
Kantz, H., G. Radons and H. Yang: The problem of spurious Lyapunov exponents in time series analysis and its solution by covariant Lyapunov vectors. Journal of Physics A 46, 254009 (2013).
Niemann, M., H. Kantz and E. Barkai: Fluctuations of 1/f Noise and the Low-Frequency Cutoff Paradox. Physical Review Letters 110, 140603 (2013).
Schulz, J.H.P., A.V. Chechkin and R. Metzler: Correlated continuous time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics. Journal of Physics A 46, 475001 (2013).
Vitanov, N.K. and Z.I. Dimitrova: Traveling waves and statistical distributions connected to systems of interacting populations. Computers and Mathematics with Applications 66, 1666-1684 (2013).
Vitanov, N.K., Z.I. Dimitrova and H. Kantz: Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation. Applied Mathematics and Computation 219, 7480-7492 (2013).
Bodai, T. and T. Tel:
Annual variability in a conceptual climate model: Snapshot attractors, hysteresis in extreme events, and climate sensitivity.
Chaos 22, 023110 (2012).
Bröcker, J.:
Estimating reliability and resolution of probability forecasts through decomposition of the empirical score.
Climate Dynamics 39, 655-667 (2012).
Bröcker, J.:
Evaluating raw ensembles with the continuous ranked probability score.
Quarterly Journal of the Royal Meteorological Society 138, 1611-1617 (2012).
Bröcker, J. and I.G. Szendro:
Sensitivity and out-of-sample error in continuous time data assimilation.
Quarterly Journal of the Royal Meteorology Society 138, 785-801 (2012)..
Dickman, R., N.R. Moloney and E.G. Altmann:
Exact solution of an information-theoretic model for communication.
Journal of Statistical Mechanics, P12022 (2012).
Kruscha, A., R. Ketzmerick and H. Kantz:
Biased diffusion inside regular islands under random symplectic perturbations.
Physical Review B 85, 066210 (2012).
Serra, J., H. Kantz, X. Serra and R.G. Andrzejak:
Predictability of Music Descriptor Time Series and its Application to Cover Song Detection.
IEEE Transactions on Audio, Speech and Language Processing 20, 514-525 (2012).
Siegert, S., J. Bröcker and H. Kantz:
On the predictability of outliers in ensemble forecasts.
Advances in Science and Research 8, 53-57 (2012).
Siegert, S., J. Bröcker and H. Kantz:
Rank Histograms of Stratified Monte Carlo Ensembles.
Monthly Weather Review 140, 1558-1571 (2012).
Yang, H.-L., G. Radons and H. Kantz:
Covariant Lyapunov Vectors from Reconstructed Dynamics: The Geometry behind True and Spurious Lyapunov Exponents.
Physical Review Letters 109, 244101 (2012).
Baptista, M.S., F.M. Kakmeni, G. Del Magno and M.S. Hussein :
How complex a dynamical network can be?.
Physics Letters A 375, 1309 - 1318 (2011).
Bröcker, J., S. Siegert and H. Kantz:
Comments on "conditional exceedance probabilities".
Monthly Weather Review 139, 3322-3324 (2011).
Bröcker, J. and H. Kantz:
The concept of exchangeability in ensemble forecasting.
Nonlinear Processes in Geophysics 18, 1-5 (2011).
Caruso, F. and H. Kantz:
Prediction of extreme events in the OFC model on a small world network.
European Physical Journal B 79, 7-11 (2011).
Denisov, S.I., S.B. Yuste, Y.S. Bystrik, H. Kantz and K. Lindenberg:
Asymptotic solutions of decoupled continuous-time random walks with superheavy-tailed waiting time and heavy-tailed jump length distributions.
Physical Review E 84, 061143 (2011).
Denisov, S.I. and H. Kantz:
Continuous-time random walk with a superheavy-tailed distribution of waiting times.
Physical Review E 83, 041132 (2011).
Denisov, S.I. and H. Kantz:
Probability distribution function for systems driven by superheavy-tailed noise.
European Physical Journal B 80, 167- 175 (2011).
Garber, A., N.R. Moloney and H. Kantz:
Hopping over a heat barrier.
Physical Review E 83, 031134 (2011).
Granger, L. and H. Kantz:
Thermodynamic cost of measurements.
Physical Review E 84, 061110 (2011).
Kovacs, T., G. Bene and T. Tel:
Relativistic effects in the chaotic Sitnikov problem.
Monthly Notices of the Royal Astronomical Society 414, 2275-2281 (2011).
Moloney, N.R. and J. Davidsen:
Extreme bursts in the solar wind.
Geophysical Research Letters 38, L14111 (2011).
Moloney, N.R., K. Ozogany and Z. Racz:
Order statistics of 1/f(alpha) signals.
Physical Review E 84, 061101 (2011).
Siegert, S., J. Bröcker and H. Kantz:
Predicting outliers in ensemble forecasts.
Quarterly Journal of the Royal Meteorological Society 137, 1887-1897 (2011).
Vitanov, N.K.:
Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs.
Communications in Nonlinear Science and Numerical Simulation 16, 1176-1185 (2011).
Vitanov, N.K.:
On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation.
Communications in Nonlinear Science and Numerical Simulation 16, 4215-4231 (2011).
Vitanov, N.K., Z.I. Dimitrova and K.N. Vitanov:
On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and b-equation.
Communications in Nonlinear Science and Numerical Simulation 16, 3033-3044 (2011).
Vitanov, N.:
On the optimum fields and bounds for heat and mass transport in two turbulent flows.
Journal of Physics: Conference Series 333, 012017 (2011).
Bröcker, J.:
On variational data assimilation in continuous time.
Quarterly Journal of the Royal Meteorological Society 136, 1906 - 1919 (2010).
Bröcker, J.:
Regularized Logistic Models for Probabilistic Forecasting and Diagnostics.
Monthly Weather Review 138, 592 - 604 (2010).
de Wijn, A.S.:
Equivalence of kinetic-theory and random-matrix approaches to Lyapunov spectra of hard-sphere systems.
Physica D 239, 1834 - 1841 (2010).
Denisov, S.I., E.S. Denisova and H. Kantz:
Biased diffusion in a piecewise linear random potential.
European Physical Journal B 76, 1-11 (2010).
Denisov, S.I. and H. Kantz:
Anomalous biased diffusion in a randomly layered medium.
Physical Review E 81, 021117 (2010).
Denisov, S.I. and H. Kantz:
Continuous-time random walk theory of superslow diffusion.
EPL 92, 30001 (2010).
Denisov, S.I., H. Kantz and P. Hänggi:
Langevin equation with super-heavy-tailed noise.
Journal of Physics A 43, 285004 (2010).
Granger, L., M. Niemann and H. Kantz:
Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model.
Journal of Statistical Mechanics P06029 (2010).
Kantz, H.:
Dynamics and statistics of extreme events.
In: Network Science: complexity in nature and technology. E. Estrada, M. Fox, D. J. Higham and G.L. Oppo (Eds.). Berlin : Springer, 2010. S. 205 -216.
Laubrich, T. and H. Kantz:
About First Order Geometric Auto Regressive Processes for Boundary Layer Wind Speed Simulation.
In: Progress in Turbulence III. (Springer Proceedings in Physics ; 131). J. Peinke, M. Oberlack, A. Talamelli (Eds.). Berlin : Springer, 2010. S. 99 - 102.
Niemann, M., I.G. Szendro and H. Kantz:
1/f noise in a model for weak ergodicity breaking.
Chemical Physics 375, 370 - 377 (2010).
Vitanov, N.K.:
Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity.
Communications in Nonlinear Science and Numerical Simulation 15, 2050 - 2060 (2010).
Vitanov, N.K.:
Optimum fields and bounds on heat transport for nonlinear convection in rapidly rotating fluid layer.
European Physical Journal B 73, 265 - 273 (2010).
Vitanov, N.K. and Z.I. Dimitrova:
Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics.
Communications in Nonlinear Science and Numerical Simulation 15, 2836 - 2845 (2010).
Vitanov, N.K., Z.I. Dimitrova and M. Ausloos:
Verhulst-Lotka-Volterra (VLV) model of ideological struggle.
Physica A 389, 4970 - 4980 (2010).
Vitanov, N.K., Z.I. Dimitrova and H. Kantz:
Modified method of simplest equation and its application to nonlinear PDEs.
Applied Mathematics and Computation 216, 2587 - 2595 (2010).
Altmann, E.G. and T. Tël:
Poincare recurrences and transient chaos in systems with leaks. Physical Review E 79, 016204 (2009).
Bröcker, J.:
Reliability, sufficiency, and the decomposition of proper scores. Quarterly Journal of the Royal Meteorological Society 135, 1512 - 1519 (2009)
Bröcker, J., D. Engster and U. Parlitz:
Probabilistic evaluation of time series models: A comparison of several approaches. Chaos 19, 043130 (2009)
Denisov, S.I., P. Hänggi and H. Kantz:
Parameters of the fractional Fokker-Planck equation. EPL 85, 40007 (2009).
Denisov, S.I., W. Horsthemke and P. Hänggi:
Generalized Fokker-Planck equation: Derivation and exact solutions.
European Physical Journal B 68, 567 - 575 (2009).
Denisov, S.I., T.V. Lyutyy, E.S. Denisova, P. Hänggi and H. Kantz:
Directed transport in periodically rocked random sawtooth potentials.
Physical Review E 79, 051102 (2009).
Garber, A., S. Hallerberg and H. Kantz:
Predicting extreme avalanches in self-organized critical sandpiles.
Physical Review E 80, 026124 (2009).
Garber, A. and H. Kantz:
Finite-size effects on the statistics of extreme events in the BTW model.
European Physical Journal B 67, 437 - 443 (2009).
Holstein, D. and H. Kantz:
Optimal Markov approximations and generalized embeddings.
Physical Review E 79, 056202 (2009).
Laubrich, T. and H. Kantz:
A first order geometric auto regressive process for boundary layer wind speed simulation.
European Physical Journal B 70, 575 - 581 (2009).
Laubrich, T. and H. Kantz:
Statistical analysis and stochastic modelling of boundary layer wind speed.
European Physical Journal Spez. Top. 174, 197 - 206 (2009).
Lenz, F., D. Herde, A. Riegert and H. Kantz:
Bivariate time-periodic Fokker-Planck model for freeway traffic.
European Physical Journal B 72, 467 - 472 (2009).
Szendro, I.G., M.A. Rodriguez and J.M. Lopez:
On the problem of data assimilation by means of synchronization.
Journal of Geophysical Research Atmospheres 114, D20109 (2009).
Szendro, I.G., M.A. Rodriguez and J.M. Lopez:
Spatial correlations of synchronization errors in extended chaotic systems.
EPL 86, 20008 (2009).
Altmann, E. G., G. Del Magno and M. Hentschel:
Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics. Epl 84, 10008 (2008).
Altmann, E. G., T. Friedrich, A. E. Motter, H. Kantz and A. Richter:
Prevalence of marginally unstable periodic orbits in chaotic billiards. Physical Review E 77, 016205 (2008).
Altmann, E. G. and T. Tel:
Poincare recurrences from the perspective of transient chaos. Physical Review Letters 100, 174101 (2008).
Bahraminasab, A., F. Ghasemi, A. Stefanovska, P. V. E. McClintock and H. Kantz:
Direction of coupling from phases of interacting oscillators: A permutation information approach.
Physical Review Letters 100, 084101 (2008).
Bahraminasab, A., D. Kenwright, A. Stefanovska, F. Ghasemi and P. V. E. McClintock:
Phase coupling in the cardiorespiratory interaction. IET Systems
Biology 2, 1, 48-54 (2008).
Baptista, M. S., C. Bohn, R. Kliegl, R. Engbert and J. Kurths:
Reconstruction of eye movements during blinks. Chaos 18, 013126 (2008).
Baptista, M. S., J. d. Carvalho and M. S. Hussein:
Finding quasi-optimal network topologies for information transmission in active networks.
PLoS One 3, e3479 (2008).
Baptista, M. S., S. P. Garcia, S. K. Dana and J. Kurths:
Transmission of information and synchronization in a pair of coupled chaotic circuits: an experimental overview.
European Physical Journal Special Topics 165, 119-128 (2008).
Baptista, M. S. and J. Kurths:
Transmission of information in active networks.
Physical Review E 77, 026205 (2008).
Broecker, J.:
Some remarks on the reliability of categorial probability forecasts.
Monthly Weather Review 136, 11, 4488-4502 (2008).
Broecker, J.:
On reliability analysis of multi-categorical forecasts. Nonlinear
Processes in Geophysics 15, 4, 661-673 (2008).
url: www.nonlin-processes-geophys.net/15/661/2008
Broecker, J. and L. A. Smith:
From ensemble forecasts to predictive distribution
functions. Tellus A 60, 4, 663-678 (2008).
Bunimovich, L. A. and G. Del Magno:
Semi-focusing billiards: ergodicity.
Ergodic Theory and Dynamical Systems 28, 1377-1417 (2008).
Cristadoro, G. and R. Ketzmerick:
Universality of algebraic decays in Hamiltonian systems. Physical Review Letters 100, 184101 (2008).
Denisov, S. I., W. Horsthemke and P. Haenggi:
Steady-state Levy flights in a confined domain. Physical Review E 77, 061112 (2008).
Gelfert, K. and C. Wolf:
Topological pressure via saddle points.
Transactions of the American Mathematical Society 360, 545-561 (2008).
Hallerberg, S., J. Broecker and H. Kantz:
Prediction of extreme events. In: Nonlinear time series analysis in the geosciences. (Eds.) Donner, R.V. ; Barbosa, S.M. Lecture notes in earth sciences 112. Springer, Berlin (2008) 35-60.
url: swbplus.bsz-bw.de/bsz28512093xinh.htm
Hallerberg, S. and H. Kantz:
How does the quality of a prediction depend on the magnitude of the events under study?
Nonlinear Processes in Geophysics 15, 2,
321-331 (2008).
url: www.nonlin-processes-geophys.net/15/321/2008/
Hallerberg, S. and H. Kantz:
Influence of the event magnitude on the predictability of an extreme event.
Physical Review E 77, 011108 (2008).
Helbing, D., J. Jost and H. Kantz:
Nonlinear physics everywhere: from molecules to cities. European Physical Journal B 63, 3, 283-283 (2008).
Javaloyes, J., M. Perrin and A. Politi:
Collective atomic recoil laser as a synchronization transition. Physical Review E 78, 011108 (2008).
Maranhao, D. M., M. S. Baptista, J. C. Sartorelli and I. L. Caldas:
Experimental observation of a complex periodic window. Physical Review E 77, 037202 (2008).
Marwan, N., A. Facchini, M. Thiel, J. P. Zbilut and H. Kantz:
20 Year of Recurrence Plots: Perspectives for a Multi-purpose Tool of Nonlinear Data Analysis.
European Physical Journal-Special Topics 164, 1-2 (2008).
Moukam Kakmeni, F. M. and M. S. Baptista:
Synchronization and information transmission in spatio-temporal networks of deformable units.
Pramana 70, 6, 1063-1076 (2008).
Mueller, M., G. Baier, C. Rummel and K. Schindler:
Estimating the strength of genuine and random correlations in non-stationary multivariate time series. EPL 84, 10009 (2008).
Mueller, M. and I. Rotter:
Exceptional points in open quantum systems. Journal of Physics A-Mathematical and Theoretical 41, 244018 (2008).
Niemann, M. and H. Kantz:
Joint probability distributions and multipoint correlations of the continuous-time random walk.
Physical Review E 78, 051104 (2008).
Pereira, T., M. Thiel, M. S. Baptista and J. Kurths:
Network mutual information and synchronization under time transformations. New Journal Physics 10,
083003 (2008).
Rummel, C., M. Mueller and K. Schindler:
Data-driven estimates of the number of clusters in multivariate time series. Physical Review E 78, 066703
(2008).
Santhanam, M. S. and H. Kantz:
Return interval distribution of extreme events and long term memory. Physical Review E 78, 051113 (2008).
Ullner, E., A. Koseska, J. Kurths, E. Volkov, H. Kantz and J. Garcia-Ojalvo:
Multistability of synthetic genetic networks with repressive cell-to-cell communication.
Physical Review E 78, 031904 (2008).
Zahnow, J. C., R. D. Vilela, U. Feudel and T. Tel:
Aggregation and fragmentation dynamics of inertial particles in chaotic flows. Physical Review E 77, 5,
055301 (2008).
Diploma:
Garber, A. K.:
Finite-size effects on extreme events in models exhibiting self-organised criticality. Diplom, Technische Universitaet, Dresden (2008).
Dissertations:
Hallerberg, S.:
Predictability of extreme events in time series.
Doktorarbeit, Bergische Universitaet, Wuppertal (2008). url:
elpub.bib.uni-wuppertal.de/edocs/dokumente/fbc/physik/diss2008/hallerberg
Altmann, E. G. and H. Kantz:
Hypothesis of strong chaos anomalous diffusion in coupled symplectic maps.
Europhysics Letters 78, 10008 (2007).
Benczik, I. J., T. Tel and Z. Koelloe:
Modulated point-vortex couples on a beta-plane: dynamics and chaotic advection.
Journal of Fluid Mechanics 582, 1-22 (2007).
de Wijn, A. S. and H. Kantz:
Vertical chaos and horizontal diffusion in the bouncing-ball billiard. Physical Review E 75, 046214 (2007).
Emmerich, H., R. Siquieri, M. Jurgk, J. Rezende and J. Hubert:
A sharp interface model for the morphological evolution of precipitates in Al cast alloys.
Philosophical Magazine Letters 87, 11, 863-869 (2007).
Facchini, A. and H. Kantz:
Curved structures in recurrence plots: The role of the sampling time. Physical Review E 75, 036215 (2007).
Farahpour, F., Z. Eskandari, A. Bahraminasab, G. R. Jafari, F. Ghasemi, M. Sahimi
and M. Reza Rahimi Tabar:
A Langevin equation for the rates of currency exchange based on the Markov analysis. Physica A 385, 2, 601-608 (2007).
Garcia, S. P., L. B. DeLancey, J. S. Almeida and R. W. Chapman:
Ecoforecasting in real time for commercial fisheries: the Atlantic white shrimp as a case study.
Marine Biology 152, 15-24 (2007).
Gelfert, K. and H. Kantz:
Dynamical quantities and their numerical analysis by saddle periodic orbits. Physica D 232, 166-172 (2007).
Ghasemi, F., M. Sahimi, J. Peinke, R. Friedrich, G. R. Jafari and M. Reza Rahimi Tabar:
Markov analysis and Kramers-Moyal expansion of nonstationary stochastic processes with application to the fluctuations in the oil price. Physical Review E 75, 060102 (2007).
Hallerberg, S., E. G. Altmann, D. Holstein and H. Kantz:
Precursors of extreme increments. Physical Review E 75, 016706 (2007).
Jafari, G. R., M. Sadegh Movahed, P. Norouzzadeh, A. Bahraminasab, M. Sahimi, F. Ghasemi and M. Reza Rahimi Tabar:
Uncertainty in the fluctuations of the price of stocks. International Journal of Modern Physics C 18, 11, 1689-1697 (2007).
Kantz, H., D. Holstein, M. Ragwitz and N. K. Vitanov:
Short time prediction of wind speeds from local measurements. Wind Energy. (Eds.) Peinke, J. Springer, Berlin (2007) 93-98.
url: dx.doi.org/10.1007/978-3-540-33866-6
Riegert, A., W. Just, N. Baba and H. Kantz:
Fast Hamiltonian chaos: Heat bath without thermodynamic limit. Physical Review E 76, 066211 (2007).
Siquieri, R., H. Emmerich and M. Jurgk:
Computation of solidification problems with hydrodynamic convection resolving energetic anisotropies at the microscale quantitatively. European Physical Journal Special Topics 149, 27-41 (2007).
Urbanowicz, K. and H. Kantz:
Improvement of speech recognition by nonlinear noise reduction. Chaos 17, 023121 (2007).
Urbanowicz, K., J. J. Zebrowski, R. Baranowski and J. A. Holyst:
How random is your heart beat?. Physica A 384, 2, 439-447 (2007).
Varn, D. P., G. S. Canright and J. P. Crutchfield:
Inferring planar disorder in close-packed structures via epsilon-machine spectral reconstruction theory: structure and intrinsic computation in zinc sulfide. Acta Crystallographica Section B 63,
169-182 (2007).
Vilela, R. D. and A. E. Motter:
Can Aerosols Be Trapped in Open Flows? Physical Review Letters 99, 264101 (2007).
Vilela, R. D., T. Tel, A. P. S. de Moura and C. Grebogi:
Signatures of fractal clustering of aerosols advected under gravity. Physical Review E 75, 065203 (2007).
Dissertations:
Altmann, E. G.:
Intermittent chaos in hamiltonian dynamical systems.
Doktorarbeit, Bergische Universitaet, Wuppertal (2007).
Albeverio, S., V. Jentsch and H. Kantz (Eds.):
Extreme events in nature and society. Berlin : Springer, 2006. XV, 352 S.
Altmann, E.G., S. Hallerberg and H. Kantz:
Reactions to extreme events: Moving threshold model. Physica A 364, 435 - 444 (2006).
Altmann, E.G., G. Cristadoro and D. Pazo:
Nontwist non-Hamiltonian systems. Physical Review E 73, 056201 (2006).
Altmann, E.G., A.E. Motter and H. Kantz:
Stickiness in Hamiltonian systems: From sharply divided to hierarchical phase space. Physical Review E 73, 026207 (2006).
Artuso, R., L. Cavallasca and G. Cristadoro:
Recycling Parrondo games. Journal of Physics A 39, 1285 - 1295 (2006).
Baba, N., W. Just, H. Kantz and A. Riegert:
Accuracy and efficiency of reduced stochastic models for chaotic Hamiltonian systems with time-scale separation. Physical Review E 73, 066228 (2006)
Barreira, L. and K. Gelfert:
Multifractal analysis for Lyapunov exponents on non-conformal repellers. Communications in Mathematical Physics 267, 393 - 418 (2006).
Cristadoro, G.:
Fractal diffusion coefficient from dynamical zeta functions. Journal of Physics A 39, L151 - L157 (2006).
Kantz, H., E. Altmann, S. Hallerberg, D. Holstein and A. Riegert:
Dynamical interpretation of extreme events: Predictions and predictability. In: Extreme Events in Nature and Society. Ed. by S. Albeverio [u.a.] Berlin : Springer, 2006. S. 69 - 93.
Kantz, H.:
Extreme events in nature - a challenge to the understanding of complex dynamics. International Journal of Ecodynamics 1, 173 - 185 (2006).
Vitanov, N.K., Z.I. Dimitrova and H. Kantz:
On the trap of extinction and its elimination. Physics Letters A 349, 350 - 355 (2006).
Vitanov, N.K., K. Tarnev, H. Kantz:
Hölder-exponent-based test for long-range correlations in pseudorandom sequences. Journal of Theoretical Applied Mechanics (Sofia) 36, 47 - 64 (2006).
Vitanov, N.K. and E.D.Yankulova:
Multifractal analysis of the long-range correlations in the cardiac dynamics of Drosophila melanogaster . Chaos Solitons and Fractals 28, 768 - 775 (2006).
Pazo, D. and M.A. Matias:
Comment on “Periodic synchronization in coupled chaotic oscillators“. Physical Review E 73, 038201 (2006).
Pazo, D. and E. Montbrio:
Universal behavior in populations composed of excitable and self-oscillatory elements. Physical Review E 73, 055202 (2006).
Sanchez, E., D. Pazo and M.A. Matias:
Experimental study of the transitions between synchronous chaos and a period rotating wave. Chaos 16, 033122 (2006).
Altmann, E.G. and H. Kantz:
Recurrence time analysis, long-term correlations, and extreme events. Physical Review E 71, 056106 (2005).
Altmann, E.G., A.E. Motter and H. Kantz:
Stickiness in mushroom billiards. Chaos 15, 033105 (2005).
Benczik, I.J.:
Discrete time model for chemical or biological decay in chaotic flows: Reentrance phase transitions. Physical Review E 71, 066205 (2005).
Benczik, I., Z. Neufeld and T. Tél:
Multifractal spectra of chemical fields in fluid flows. Physical Review E 71, 016208 (2005).
Boichenko, V.A., G.A. Leonov and V. Reitmann:
Dimension theory for ordinary differential equations. Stuttgart : Teubner, 2005 441 S.
de Wijn, A.S.:
Kolmogorov-Sinai entropy for dilute systems of hard particles in equilibrium. Physical Review E 71, 046211 (2005).
de Wijn, A.S.:
Lyapunov spectra of billiards with cylindrical scatterers: Comparison with many-particle systems. Physical Review E 72, 026216 (2005).
Facchini, A., H. Kantz and E. Tiezzi:
Recurrence plot analysis of nonstationary data: The understanding of curved patterns. Physical Review E 72, 021915 (2005).
Gelfert, K.:
Dimension estimates beyond conformal and hyperbolic dynamics. Dynamical Systems 20, 267 - 280 (2005).
Hallerberg, S., W. Just W. and G. Radons:
Analytic properties of the Ruelle ?-function for mean field models of phase transition. Journal of Physics A 38, 5097 - 5109 (2005).
Kantz, H., D. Holstein, M. Ragwitz and N.K. Vitanov:
Predicting probability for stochastic processes with local Markov property. In: Progress in Turbulence. Eds. J. Peinke [u.a.] Berlin : Springer, 2005.S. 95 - 98.
Kantz, H. and V. Reitmann:
Determining functionals for bifurcations on a finite-time interval in variational inequalities. In: EQUADIFF 2003. Ed. by F. Dumortie. Singapore : World Scientific, 2005. S.1098 -1100.
Lai, Y.C., A. Motter, T. Nishikawa, K. Park and L. Zhao:
Complex networks: Dynamics and security. Pramana 64, 483 - 502 (2005).
Motter, A.E., A.P.S. de Moura, C. Grebogi and H. Kantz:
Effective dynamics in Hamiltonian systems with mixed phase space. Physical Review E 71, 036215 (2005).
Motter, A.E., C.S. Zhou and J. Kurths:
Enhancing complex-network synchronization. Europhysics Letters 69, 334 - 340 (2005).
Motter, A.E., C.S. Zhou and J. Kurths:
Network synchronization,diffusion, and the paradox of heteerogeneity. Physical Review E 71,016116 (2005).
Motter, A.E., C.S. Zhou and J. Kurths:
Weighted networks are more synchronizable: how and why. In: Science of complex networks. Ed. J. F. F. Mendes. Melville, N.Y. : American Institute of Physics, 2005. S. 201- 214.
Pazó, D.:
Thermodynamic limit of the first-order phase transition in the Kuramoto model. Physical Review E 72, 046211 (2005).
Pazó, D., R.R. Deza and V. Pérez-Muñuzuri:
Parity-breaking front bifurcation in bistable media: link between discrete and continuous versions. Physics Letters A 340, 132 - 138 (2005).
Pineda, M. and M.G. Cosenza:
Synchronization in driven versus autonomous coupled chaotic maps. Physical Review E 71, 057201 (2005).
Reitmann, V. and H. Kantz:
Generic analytical embedding methods for nonstationary systems based on control theory. In: Proceedings:2005 International Conference Physics and Control. Ed. A.L. Fradkov. Piscataway, NJ : IEEE Service Center, 2005. S. 425 - 428.
Riegert, A., N. Baba, K. Gelfert, W. Just and H. Kantz:
Hamiltonian chaos acts like a finite energy reservoir: Accuracy of the Fokker-Planck approximation. Physical Review Letters 94, 054103 (2005).
Santhanam, M.S. and H. Kantz:
Long-range correlations and rare events in boundary layer wind fields. Physica A 345, 713 - 721 (2005).
Urbanowicz, K. and J.A. Ho?yst:
Noise reduction for flows using nonlinear constraints. Acta Physica Polonica B 36, 2805 - 2820 (2005).
Urbanowicz, K., H. Kantz and J.A. Ho?yst:
Anti-deterministic behaviour of discrete systems that are less predictable than noise.Physica A 350, 189 - 198 (2005).
Vitanov, N.K.:
Numerical upper bounds on convective heat transport in a layer of fluid of finite Prandtl number: Confirmation of Howard's analytical asymptotic single-wave-number bound. Physics of Fluids 17,105106 (2005).
Dimitrova, Z.I. and N. K. Vitanov:
Chaotic pairwise competition. Theoretical Population Biology 66, 1-12 (2004).
Emmerich, H., M. Jurgk and R. Siquieri:
Multiscale simulations of micro-structure selection in binary alloy solidification. physica status solidi b 241, 2128 - 2135 (2004).
Juarez, L.H., H. Kantz, O. Martinez, E. Ramos and R. Rechtman:
Complex dynamics in simple systems with periodic parameter oscillations. Physical Review E 70, 056202 (2004).
Kaiser, A. and T. Schreiber:
Nonparametric detection of dependences in stochastic point processes. International Journal of Bifurcation and Chaos 14, 1987 - 1993 (2004).
Kantz, H., D. Holstein, M. Ragwitz and N.K. Vitanov:
Extreme Events in Surface Wind: Predicting Turbulent Guts. In: Experimental Chaos. Ed. S. Boccaletti. New York: American Institute of Physics,2004 S. 315 - 324.
Kantz, H., D. Holstein, M. Ragwitz and N.K. Vitanov:
Markov chain model for turbulent wind speed data. Physica A 342, 315 - 321 (2004).
Kantz, H., W. Just, N. Baba, K. Gelfert and A. Riegert:
Fast chaos versus white noise: entropy analysis and a Fokker-Planck model for the slow dynamics. Physica D 187, 200 - 213 (2004).
Kantz, H. and M. Ragwitz:
Phase space reconstruction and nonlinear predictions for stationary and nonstationary Markovian processes. International Journal of Bifurcation and Chaos 14, 1935 -1945 (2004).
Kantz, H. and T. Schreiber:
Nonlinear Time Series Analysis. 2. Aufl. Cambridge: Cambridge Univ. Press, 2004. 369 S.
Kleiner, M., R. Göbel, C. Klimmek, B. Heller, V. Reitmann and H. Kantz:
Wrinkling in Shett Metal Spinning. In: Nonlinear dynamics of production systems. Ed. G. Radons. Weinheim : Wiley-VCH, 2004. S. 287 - 303.
Motter, A.E.:
Cascade Control dend Defense in Complex Networks. Physical Review Letters 93, 098701 (2004).
Reitmann, V.:
Dynamical Systems and Chaos. In: Handbook of Mathematics. Ed. I. Bronshtein. Berlin: Springer, 2004. S. 795 - 843.
Reitmann, V. and H. Kantz:
Frequency domain conditions for the existence of almost periodic solutions in evolutionary variational inequalities. Stochastics and Dynamics 4, 483 - 499 (2004).
Santhanam, M.S.:
Entropic uncertainty relations for the ground state of a coupled
Santhanam, M.S. and H. Kantz:
Random matrix approach to multivariate correlations: Some limiting cases. Physical Review E 69, 056102 (2004).
Tel, T., T. Nishikawa, A.E. Motter, C. Grebogi and Z. Totoczkai:
Universality in active chaos. Chaos 14, 72 - 78 (2004).
Boeck, T., M. Jurgk and U. Bahr:
Oscillatory Rayleigh-Marangoni convection in a layer heated from above: Numerical simulations with an undeformable free surface. Physical Review E 67, 027303 (2003).
Ferretti Manffra, E., H. Kantz and M. Ragwitz:
Genetic distance in sequence space of evolving populations. Complexity 8, 51-56 (2003).
Gelfert, K.:
Lower estimates of the topological entropy for dynamical systems on Riemannian Manifolds. In: Progress in analysis: proceedings of the 3rd International ISAAC Berlin 2001. Ed. by H.G.W. Begehr. Singapore: World Scientific, 2003 S. 535 - 544
Gelfert, K.:
Maximum local Lyapunov dimension bounds the box dimension. Direct proof for invariant sets on Riemannian manifolds. Zeitschrift für Analysis und ihre Anwendungen 22, 553-568 (2003).
Hegger, R., H. Kantz, L. Matassini and M. Ragwitz:
Time series analysis in reconstructed state spaces. In: From quanta to societies. Ed. W. Klonowski. Lengerich: Pabst Science Publ., 2003. S. 130 - 150.
Hernandez-Cruz, G., H. Kantz, T. Letz, M. Ragwitz, E. Ramos and R. Rechtman:
Noise-induced fluctuations of period lengths of stable periodic orbits. Physical Review E 67, 036210 (2003).
Just, W., K. Gelfert, N. Baba, A. Riegert and H. Kantz:
Elimination of fast chaotic degrees of freedom: On the accuracy of the born approximation. Journal of Statistical Physics 112, 277 - 292 (2003).
Just, W., H. Kantz, M. Ragwitz and F. Schmüser:
Nonequilibrium physics meets time series analysis: Measuring probability currents from data. Europhysics Letters 62, 28-34 (2003).
Kantz, H.:
Robustness versus Sensitivity - Can Biological Systems Behave Chaotically? Nova Acta Leopolodina NF 88, 245-253 (2003).
Kim, J.W. and H. Kantz:
Effects of random noise on a simple class of growing network models. Physical Review E 68, 026110 (2003).
Matassini, L. and G. Cuniberti:
On the three body behavior of foreign exchange markets (vol 308, pg 402, 2002). Physica A 318, 638 (2003).
Motter, A.E.:
Relativistic chaos is coordinate invariant. Physical Review Letters 91, 231101 (2003).
Motter, A.E., Y.C. Lai and C. Grebogi:
Reactive dynamics of inertial particles in nonhyperbolic chaotic flows. Physical Review E 68, 056307 (2003).
Motter, A.E., T. Nishikawa and Y.C. Lai:
Large-scale structural organization of social networks. Physical Review E 68, 036105 (2003).
Vitanov, N.K.:
Convective heat transport in a rotating fluid layer of infinite Prandtl number: Optimum fields and upper bounds on Nusselt number. Physical Review E 67, 026322 (2003).
Waechter, M., F. Riess, H. Kantz and J. Peinke:
Stochastic analysis of surface roughness. Europhysics Letters 64, 579-585 (2003).
Boeck, T. and N.K. Vitanov:
Low-dimensional chaos in zero-Prandtl-number Benard-Marangoni convection. Physical Review E 65, 037203 (2002).
Boffetta, G., M. Cencini and J. Davoudi:
Closure of two-dimensional turbulence: The role of pressure gradients. Physical Review E 66, 017301 (2002).
Boffetta, G., M. Cencini, M. Falcioni and A. Vulpiani:
Predictability: a way to characterize complexity. Physics Reports 356, 367-474 (2002).
Ferretti Manffra, E., W. Just and H. Kantz:
Invariant densities of delayed maps in the limit of large time delay. Physical Review E 65, 016211 (2002).
Kaiser, A. and T. Schreiber:
Information transfer in continuous processes. Physica D 166, 43-62 (2002).
Kantz, H. C. Grebogi, A. Prasad, Y.C. Lai and E. Sinde:
Unexpected robustness against noise of a class of nonhyperbolic chaotic attractors. Physical Review E 65, 026209 (2002).
Kleiner, M., R. Göbel, H. Kantz, C. Klimmek and W. Homberg:
Combined methods for the prediction of dynamic instabilities in sheet metal spinning. CIRP Annals 51, 209 - 214 (2002).
Matassini, L.:
On the rigid body behavior of foreign exchange markets. Physica A 308, 410 (2002).
Matassini, L., H. Kantz, H. Holyst and R. Hegger:
Optimizing of recurrence plots for nose reduction. Physical Review E 65, 021102 (2002).
Matassini, L. and C. Manfredi:
Noise reduction for vocal pathologies. Medical Engineering and Physics 24, 547-552 (2002).
Matassini, L. and C. Manfredi:
Software corrections of vocal disorders. Computer Methods and Programs in Biomedicine 68, 135-145 (2002).
Ragwitz, M., C.N. Baroud, B.B. Plapp and H.L. Swinney:
Nonlinear determinism in time series measurements of two-dimensional turbulence. Physica D 162, 244-255 (2002).
Ragwitz, M. and H. Kantz:
Comment on ’Indispensable finite time corrections for Fokker-Planck equations from time series data’ - Reply. Physical Review Letters 89, 149402 (2002).
Ragwitz, M. and H. Kantz:
Markov models from data by simple nonlinear time series predictors in delay embedding. Physical Review E 65, 056201 (2002).
Schmüser, F. and B. Schmittmann:
Non-equilibrium stationary state of a two-temperature spin chain. Journal of Physics A 35, 2569-2580 (2002).