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.91.234101Citations: 11data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-04-28References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here