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Abstract
Recent investigations showed that even weak noise acting upon a nonlinear dynamical system can have a pronounced effect on its behaviour resulting in the transitions to a new state and in qualitative change in the system's properties, e.g., the transformation of an unstable equilibrium state into a stable one, and vice versa, the occurrence of multistability, noise-induced transport (stochastic ratchets), so-called stochastic resonance, and so on. The phenomenon of noise-induced transport is closely allied to the well-known problem of fluctuational transitions from one stable state to another. The theory of such transitions and examples of the phenomena indicated are considered.
Index
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References
Bibliographical reference
Polina S. Landa, « Strong Influence of Small Fluctuations in Nonlinear Systems », CASYS, 5 | 2000, 63-80.
Electronic reference
Polina S. Landa, « Strong Influence of Small Fluctuations in Nonlinear Systems », CASYS [Online], 5 | 2000, Online since 01 July 2024, connection on 06 June 2025. URL : http://popups.uliege.be/3041-539x/index.php?id=749
Author
Polina S. Landa
Department of Physics, Lomonosov Moscow State University, 119899 Moscow, Russia
