Stability of oscillations for dynamic systems under the random parametrical fluctuations / Ryashko L. B. // . - 2007. - V. 922, l. . - P. 495-498.

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

We present theoretical foundations of stability analysis for attractors of stochastically forced nonlinear systems. Our technique is based on extension of Lyapunov function technique to general manifolds. The first approximation stochastic linear systems for attractors are introduced and a notion of projective stability is proposed. A general criterion for projective stability is obtained. We propose a constructive approach to stochastic stability investigation of limit cycles and tori based on spectral analysis. The stochastic stability analysis is reduced to the estimation of the spectral radius of some positive operator. The possibilities of this approach are demonstrated for important cases of limit cycle on a plane and 2-torus. For these cases, the explicit parametrical criteria are found.

Author keywords:

noises; fluctuations; stochastic stability; limit cycles; tori

DOI:

нет данных

Web of Science ID:

ISI:000249049500103

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Tacano, M and Yamamoto, Y and Nakao, M
Booktitle	Noise and Fluctuations
Series	AIP CONFERENCE PROCEEDINGS
Note	19th International Conference on Noise and Fluctuations, Tokyo, JAPAN, SEP 09-14, 2007
Organization	Japanese Assoc Sci, Art \& Technol Fluctuat; IEEE Electron Devices Soc; Meisei Univ, Frontier Res Ctr Global Environm Sci; Aihara Complex Modeling Project, ERATO, JST
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
ISBN	978-0-7354-0432-8
Research-Areas	Engineering; Physics
Web-of-Science-Categories	Engineering, Electrical \& Electronic; Physics, Multidisciplinary; Physics, Condensed Matter
Number-of-Cited-References	4
Doc-Delivery-Number	BGO65