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Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space

Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space PDF Author: Zeng Lian
Publisher: American Mathematical Soc.
ISBN: 0821846566
Category : Mathematics
Languages : en
Pages : 119

Book Description
The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.