Additive noise in noise-induced nonequilibrium transitions
| Autor: | Alexei Zaikin, Jürgen Kurths |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Phase transition
Bistability Stochastic resonance Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Noise (electronics) Resonance (particle physics) Multiplicative noise law.invention Nonlinear system Control theory law Intermittency Statistical physics Mathematical Physics Mathematics |
| Zdroj: | Chaos: An Interdisciplinary Journal of Nonlinear Science. 11:570-580 |
| ISSN: | 1089-7682 1054-1500 |
| DOI: | 10.1063/1.1380369 |
| Popis: | We study different nonlinear systems which possess noise-induced nonequlibrium transitions and shed light on the role of additive noise in these effects. We find that the influence of additive noise can be very nontrivial: it can induce first- and second-order phase transitions, can change properties of on-off intermittency, or stabilize oscillations. For the Swift-Hohenberg coupling, that is a paradigm in the study of pattern formation, we show that additive noise can cause the formation of ordered spatial patterns in distributed systems. We show also the effect of doubly stochastic resonance, which differs from stochastic resonance, because the influence of noise is twofold: multiplicative noise and coupling induce a bistability of a system, and additive noise changes a response of this noise-induced structure to the periodic driving. Despite the close similarity, we point out several important distinctions between conventional stochastic resonance and doubly stochastic resonance. Finally, we discuss open questions and possible experimental implementations. (c) 2001 American Institute of Physics. |
| Databáze: | OpenAIRE |
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