A propensity criterion for networking in an array of coupled chaotic systems
Chaotic Dynamics
2009-11-10 v1 Pattern Formation and Solitons
Neurons and Cognition
Abstract
We 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.
Cite
@article{arxiv.nlin/0307014,
title = {A propensity criterion for networking in an array of coupled chaotic systems},
author = {F. T. Arecchi and E. Allaria and I. Leyva},
journal= {arXiv preprint arXiv:nlin/0307014},
year = {2009}
}
Comments
4 pages, 3 figures