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arxiv: 0709.1108 · v1 · submitted 2007-09-07 · 🌊 nlin.CD

Spike synchronization of a chaotic array as a phase transition

classification 🌊 nlin.CD
keywords arraysynchronizationsystemchaoticcouplingcriticaldefectexternal
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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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