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Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
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Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
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eBook
Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
2010
Overview
We 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. We prove a multiplicative
ergodic theorem. Then, we use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random
invariant sets.
Publisher
American Mathematical Society
Subject
ISBN
0821846566, 9780821846568
