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Analytical and Numerical Studies of Noise-induced Synchronization of Chaotic Systems | | Raul Toral
; Claudio R. Mirasso
; Emilio Hernandez-Garcia
; Oreste Piro
; | | Date: |
18 Apr 2001 | | Journal: | CHAOS 11, 665-673 (2001) | | Subject: | Chaotic Dynamics; Adaptation and Self-Organizing Systems; Statistical Mechanics | nlin.CD cond-mat.stat-mech nlin.AO | | 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 1-d 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. | | Source: | arXiv, nlin.CD/0104044 | | Services: | Forum | Review | PDF | Favorites | |
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