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Title: | Analytical and Numerical Studies of Noise-induced Synchronization of Chaotic Systems |
Authors: | Toral, Raúl CSIC ORCID ; Mirasso, Claudio R. CSIC ORCID ; Hernández-García, Emilio CSIC ORCID ; Piro, Oreste CSIC ORCID | 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 | URI: | http://hdl.handle.net/10261/48065 | DOI: | 10.1063/1.1386397 | ISSN: | 10.1063/1.1386397 |
Appears in Collections: | (IMEDEA) Artículos |
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analytical_numerical.pdf | 3,32 MB | Adobe PDF | View/Open |
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