Synchronization of moving integrate and fire oscillators with nearest neighbor interaction

Oleguer Sagarra

Universitat de Barcelona, Faculty of Physics, Fundamental Physics, Barcelona, Spain

We present a model of moving integrate and fire oscillators that interact using a first-neighbor rule in a box with periodic boundary conditions. The time spent in synchronization (TS) is shown to be strongly dependent on the velocity in a non-uniform way. We derive scaling relations for TS related with the number of agents involved, the coupling constant and the velocity, detecting two distinct regimes. Additionally, we show that these two regimes are separated by a peaked zone in which a resonance between movement and internal phases time scales inhibits the synchronization. We also introduce a novel parametter (which we call 'mixing') providing empirical insights on the mechanisms that allow the system to reach the coherent state.

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