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

F. T. Arecchi·E. Allaria·I. Leyva
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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.

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F. T. Arecchi, E. Allaria, I. Leyva. 2003-07-09. A propensity criterion for networking in an array of coupled chaotic systems. https://doi.org/10.1103/physrevlett.91.234101

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