CHAOTIC OSCILLATIONS AND NOISE TRANSFORMATIONS IN A SIMPLE DISSIPATIVE SYSTEM WITH DELAYED FEEDBACK / ZVEREV VV,RUBINSTEIN BY // JOURNAL OF STATISTICAL PHYSICS. - 1991. - V. 63, l. 1-2. - P. 221-239.

ISSN/EISSN:

0022-4715 / нет данных

Type:

Article

Abstract:

We analyze the statistical behavior of signals in nonlinear circuits with delayed feedback in the presence of external Markovian noise. For the special class of circuits with intense phase mixing we develop an approach for the computation of the probability distributions and multitime correlation functions based on the random phase approximation. Both Gaussian and Kubo-Andersen models of external noise statistics are analyzed and the existence of the stationary (asymptotic) random process in the long-time limit is shown. We demonstrate that a nonlinear system with chaotic behavior becomes a noise amplifier with specific statistical transformation properties.

Author keywords:

DYNAMIC SYSTEMS; MARKOV PROCESS; DELAYED FEEDBACK; PROBABILITY DISTRIBUTIONS; LYAPUNOV EXPONENT NON-LINEAR TRANSFORMATIONS; RING CAVITY; DYNAMICAL-SYSTEMS; TRANSMITTED LIGHT; TURBULENCE; UNIVERSALITY; FLUCTUATIONS; ONSET; MAPS

DOI:

10.1007/BF01026600

Web of Science ID:

ISI:A1991FM52300012

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	APR
Publisher	PLENUM PUBL CORP
Address	233 SPRING ST, NEW YORK, NY 10013
Language	English
Keywords-Plus	NON-LINEAR TRANSFORMATIONS; RING CAVITY; DYNAMICAL-SYSTEMS; TRANSMITTED LIGHT; TURBULENCE; UNIVERSALITY; FLUCTUATIONS; ONSET; MAPS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Mathematical
ResearcherID-Numbers	Зверев, Владимир/S-2390-2016
ORCID-Numbers	Зверев, Владимир/0000-0002-7997-0071
Number-of-Cited-References	21
Usage-Count-Since-2013	1
Journal-ISO	J. Stat. Phys.
Doc-Delivery-Number	FM523