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
Author :
Publisher : American Mathematical Soc.
Total Pages : 119
Release :
ISBN-10 : 9780821846568
ISBN-13 : 0821846566
Rating : 4/5 (68 Downloads)

Book Synopsis Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space by : Zeng Lian

Download or read book Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space written by Zeng Lian and published by American Mathematical Soc.. This book was released on 2010 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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