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Open Access item Analytical and Numerical Studies of Noise-induced Synchronization of Chaotic Systems

Authors:Toral, Raúl
Mirasso, Claudio R.
Hernández-García, Emilio
Piro, Oreste
Keywords:Synchronization, Noise, Chaos
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
Appears in Collections:(IMEDEA) Artículos

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