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29 March 2024
 
  » arxiv » nlin.CD/0307014

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A propensity criterion for networking in an array of coupled chaotic systems
F.T. Arecchi ; E. Allaria ; I. Leyva ;
Date 9 Jul 2003
Subject Chaotic Dynamics; Pattern Formation and Solitons; Neurons and Cognition | nlin.CD nlin.PS q-bio.NC
AbstractWe examine the mutual synchronization of a one dimensional chain of chaotic identical objects in the presence of a stimulus applied to the first site. We first describe the characteristics of the local elements, and then the process whereby a global nontrivial behaviour emerges. A propensity criterion for networking is introduced, consisting in the coexistence within the attractor of a localized chaotic region, which displays high sensitivity to external stimuli,and an island of stability, which provides a reliable coupling signal to the neighbors in the chain. Based on this criterion we compare homoclinic chaos, recently explored in lasers and conjectured to be typical of a single neuron, with Lorenz chaos.
Source arXiv, nlin.CD/0307014
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