Spike synchronization of a chaotic array as a phase transition

Details Spike synchronization of a chaotic array as a phase transition Spike synchronization of a chaotic array as a phase transition

2007-09-07

arxiv.org/abs/0709.1108v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of synchronization is called a defect. The system displays sudden spontaneous defect disappearance at a critical coupling strength. Below critical coupling, the system reaches order at a definite amplitude of an external input; this order persists for a fixed time slot. Thus, the array behaves as an excitable system, even though the single element lacks such a property. The above features provide a dynamical explanation of feature binding in perceptual tasks.

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