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

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

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...

Full description

Bibliographic Details
Main Author: Lian, Zeng
Format: Others
Published: BYU ScholarsArchive 2008
Subjects:
Lyapunov exponents
multiplicative ergodic theorem
invariant manifold
Mathematics
Online Access:https://scholarsarchive.byu.edu/etd/1517
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2516&context=etd
id ndltd-BGMYU2-oai-scholarsarchive.byu.edu-etd-2516
record_format oai_dc
spelling ndltd-BGMYU2-oai-scholarsarchive.byu.edu-etd-25162021-08-21T05:01:08Z Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space Lian, Zeng 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. 2008-07-16T07:00:00Z text application/pdf https://scholarsarchive.byu.edu/etd/1517 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2516&context=etd http://lib.byu.edu/about/copyright/ Theses and Dissertations BYU ScholarsArchive Lyapunov exponents multiplicative ergodic theorem invariant manifold Mathematics
collection NDLTD
format Others
sources NDLTD
topic Lyapunov exponents
multiplicative ergodic theorem
invariant manifold
Mathematics
spellingShingle Lyapunov exponents
multiplicative ergodic theorem
invariant manifold
Mathematics
Lian, Zeng
Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
description 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.
author Lian, Zeng
author_facet Lian, Zeng
author_sort Lian, Zeng
title Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
title_short Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
title_full Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
title_fullStr Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
title_full_unstemmed Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
title_sort lyapunov exponents and invariant manifold for random dynamical systems in a banach space
publisher BYU ScholarsArchive
publishDate 2008
url https://scholarsarchive.byu.edu/etd/1517
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2516&context=etd
work_keys_str_mv AT lianzeng lyapunovexponentsandinvariantmanifoldforrandomdynamicalsystemsinabanachspace
_version_ 1719460830290903040

Similar Items