A propensity criterion for networking in an array of coupled chaotic systems

Details A propensity criterion for networking in an array of coupled chaotic systems A propensity criterion for networking in an array of coupled chaotic systems

2003-07-09

arxiv.org/abs/nlin/0307014v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.91.234101

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.

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