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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/48065
Title: Analytical and Numerical Studies of Noise-induced Synchronization of Chaotic Systems
Authors: Toral, Raúl ; Mirasso, Claudio R. ; Hernández-García, Emilio ; Piro, Oreste
Keywords: Synchronization
Issue Date: 31-Aug-2001
Publisher: American Institute of Physics
Citation: Chaos 11: 665-673 (2001)
Abstract: We study the effect that the injection of a common source of noise has on the trajectories of chaotic systems, addressing some contradictory results present in the literature. We present particular examples of one-dimensional maps and the Lorenz system, both in the chaotic region, and give numerical evidence showing that the addition of a common noise to different trajectories, which start from different initial conditions, leads eventually to their perfect synchronization. When synchronization occurs, the largest Lyapunov exponent becomes negative. For a simple map we are able to show this phenomenon analytically. Finally, we analyze the structural stability of the phenomenon.
Description: PACS: 05.45.Xt
Publisher version (URL): http://dx.doi.org/10.1063/1.1386397
URI: http://hdl.handle.net/10261/48065
DOI: 10.1063/1.1386397
ISSN: 10.1063/1.1386397
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