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- Title
Analytical and numerical studies of noise-induced synchronization of chaotic systems.
- Authors
Toral, Raul; Mirasso, Claudio R.; Hernandez-Garcia, Emilio; Piro, Oreste
- 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. (c) 2001 American Institute of Physics.
- Publication
Chaos (Woodbury, N.Y.), 2001, Vol 11, Issue 3, p665
- ISSN
1089-7682
- Publication type
Journal Article
- DOI
10.1063/1.1386397