Exactly solvable models of nonlinear dynamical systems driven by colored Ornstein-Uhlenbeck and Rayleigh noise

Autor:	V. M. Loginov, A. F. Konstantinov
Rok vydání:	1993
Předmět:	Phase transition Markov chain Statistical and Nonlinear Physics Ornstein–Uhlenbeck process Noise (electronics) Nonlinear dynamical systems symbols.namesake Colored symbols Statistical physics Rayleigh scattering Mathematical Physics Phase diagram Mathematics
Zdroj:	Theoretical and Mathematical Physics. 97:1370-1381
ISSN:	1573-9333 0040-5779
Popis:	Exact solutions of the stationary Kolmogorov-Fokker-Planck equations corresponding to a certain class of nonlinear dynamical systems of first order driven parametrically (multiplicatively) by colored Markov Ornstein-Uhlenbeck and Rayleigh noise are obtained. The influence of asymmetric fluctuations on the form of the stationary distributions is discussed. Phase diagrams are constructed for some examples, and phase transitions induced by colored Rayleigh noise are noted.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0fa83cfeead9e2debb356964deb3afea https://doi.org/10.1007/bf01015767 Zobrazit plný text záznamu Full text from SpringerLink