NOISE-INDUCED CHAOS: A CONSEQUENCE OF LONG DETERMINISTIC TRANSIENTS
| Autor: | Ying-Cheng Lai, Tamás Tél, Márton Gruiz |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Control of chaos
education.field_of_study Polynomial chaos Dynamical systems theory Applied Mathematics Synchronization of chaos Population Chaotic Quantum chaos Nonlinear Sciences::Chaotic Dynamics Classical mechanics Modeling and Simulation Attractor education Engineering (miscellaneous) Mathematics |
| Zdroj: | International Journal of Bifurcation and Chaos. 18:509-520 |
| ISSN: | 1793-6551 0218-1274 |
| DOI: | 10.1142/s0218127408020422 |
| Popis: | We argue that transient chaos in deterministic dynamical systems is a major source of noise-induced chaos. The line of arguments is based on the fractal properties of the dynamical invariant sets responsible for transient chaos, which were not taken into account in previous works. We point out that noise-induced chaos is a weak noise phenomenon since intermediate noise strengths destroy fractality. The existence of a deterministic nonattracting chaotic set, and of chaotic transients, underlying noise-induced chaos is illustrated by examples, among others by a population dynamical model. |
| Databáze: | OpenAIRE |
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