Exponential mean square stability of stochastically forced 2-torus / Ryashko LB // NONLINEARITY. - 2004. - V. 17, l. 2. - P. 729-742.

ISSN/EISSN:

0951-7715 / нет данных

Type:

Article

Abstract:

An exponential mean square stability for the quasiperiodic motion of a nonlinear stochastic system is considered. Using a toroidal quadratic Lyapunov function technique, the first approximation linear systems for invariant toroidal manifolds are introduced and a notion of P-stability (projective) is proposed. A criterion for P-stability is obtained. The stochastic stability analysis is reduced to the estimation of the spectral radius of some positive operator. For a 2-torus in the three-dimensional case a parametric criterion is given.

Author keywords:

SENSITIVITY-ANALYSIS

DOI:

10.1088/0951-7715/17/2/021

Web of Science ID:

ISI:000220523400022

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAR
Publisher	IOP PUBLISHING LTD
Address	DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
Language	English
Article-Number	PII S0951-7715(04)62709-5
Keywords-Plus	SENSITIVITY-ANALYSIS
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Mathematical
Author-Email	lev.ryashko@usu.ru
Number-of-Cited-References	18
Journal-ISO	Nonlinearity
Doc-Delivery-Number	807TI