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Can complex networks of states support new forms of computations?
Networks of dynamically connected saddle states persistently emerge in a
broad range of high-dimensional systems and may reliably encode inputs as
speci c switching trajectories. In how far they exhibit computational
capabilities, however, is far from being understood. Here we analyze how
symmetry-breaking inhomogeneities naturally induce predictable persistent
switching dynamics across such networks. We show that such systems are
capable of computing arbitrary logic operations
by entering into switching sequences in a controlled way. This dynamics
thus offers a highly flexible new kind of computation based on switching
along complex networks of states.
Ref.: 1) Computation via Complex Networks of States, F. Schittler Neves, and M. Timme; Phys. Rev. Lett., in press (2012). |
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