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Analytical and numerical studies of noise-induced synchronization of chaotic systems
Open accessAbstract
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.
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Gammaitoni, L., Hänggi, P., Jung, P., & Marchesoni, F. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.223 · Cited by 5,443
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Metadata
- Authors
- Toral, R., Mirasso, C. R., Hernández-Garcı́a, E., & Piro, O.
- Venue
- Chaos: An Interdisciplinary Journal of Nonlinear Science
- Publisher
- AIP Publishing
- Published
- 2001-09-01
- Volume
- 11
- Issue
- 3
- Pages
- 665-673
- ISSN
- 1054-1500 (ISSN-L)
- 1089-7682
- OpenAlex
- W2044146607
- Cited by
- 164
- References
- 1
- FWCI
- 4.64
- Type
- journal article
- Language
- en
- Open access
- green
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- Toral, R., Mirasso, C. R., Hernández-Garcı́a, E., & Piro, O. (2001). Analytical and numerical studies of noise-induced synchronization of chaotic systems. Chaos: An Interdisciplinary Journal of Nonlinear Science. https://doi.org/10.1063/1.1386397
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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