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unknown
Spectral criterion of stochastic stability for invariant manifolds 1
Authors
AM Samoilenko
DG Korenevskii
+12 more
HJ Kushner
I. A. Bashkirtseva
IU Bronstein
IY Kats
L Arnold
L. B. Ryashko
LB Ryashko
MA Krasnosel’skii
RZ Khas’minskii
S Wiggins
U Kirchgaber
X Mao
Publication date
1 January 2013
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
Abstract
The mean square stability for invariant manifolds of nonlinear stochastic differential equations is considered. The stochastic stability analysis is reduced to the estimation of the spectral radius of some positive operator. For the important case of manifolds with codimension one, a constructive spectral analysis of this operator is carried out. On the basis of this spectral technique, parametrical criteria of the stochastic stability of limit cycle and 2-torus are developed. © 2013 Springer Science+Business Media New York
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Institutional repository of Ural Federal University named after the first President of Russia B.N.Yeltsin
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oai:elar.urfu.ru:10995/27413
Last time updated on 02/06/2016
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info:doi/10.1007%2Fs10559-013-...
Last time updated on 15/02/2019