On Invariant Tori for a Stochastic Ito System

Author： Samoilenko A.   Stanzhyts’kyj O.   Ateiwi A.  

Publisher： Springer Publishing Company

ISSN： 1040-7294

Source： Journal of Dynamics and Differential Equations, Vol.17, Iss.4, 2005-10, pp. : 737-758

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Abstract

By using the Green function, we obtain conditions implying existence of invariant sets for Ito systems that are extensions of dynamical systems on a torus.

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