Propensity criterion for networking in an array of coupled chaotic systems

Year: 2003

Authors: Arecchi F.T., Allaria E., Leyva I.

Autors Affiliation: Department of Physics, University of Firenze, 50125 Firenze, Italy;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Universidad Rey Juan Carlos, c/Tulipan s/n 28933 Mostoles, Madrid, Spain

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 behavior 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.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 91 (23)      Pages from: 234101-1  to: 234101-4

KeyWords: HOMOCLINIC CHAOS; SYNCHRONIZATION;
DOI: 10.1103/PhysRevLett.91.234101

Citations: 11
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