Spike synchronization of a chaotic array as a phase transition

TL;DR

This paper investigates how a chaotic array of coupled spiking systems synchronizes with an external input, revealing a phase transition characterized by sudden defect disappearance and emergent excitable behavior.

Contribution

It introduces a novel understanding of synchronization and defect dynamics in chaotic spiking arrays, linking them to phase transition phenomena and perceptual feature binding.

Findings

Synchronization occurs rapidly in coupled chaotic arrays.

A critical coupling strength induces a phase transition with defect disappearance.

The array exhibits excitable behavior despite individual elements lacking it.

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.