English

Spike synchronization of a chaotic array as a phase transition

Chaotic Dynamics 2007-09-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0709.1108,
  title  = {Spike synchronization of a chaotic array as a phase transition},
  author = {M. Ciszak and A. Montina and F. T. Arecchi},
  journal= {arXiv preprint arXiv:0709.1108},
  year   = {2007}
}

Comments

4 pages, 5 figures

R2 v1 2026-06-21T09:15:05.943Z