Approximation of Stochastic Invariant Manifolds
This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov...
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| 主要な著者: | , |
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| フォーマット: | 図書 |
| 言語: | English |
| 出版事項: |
Springer
2015
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| 主題: | |
| オンライン･アクセス: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57805 |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| 要約: | This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated with some partially coupled backward-forward systems. This pullback characterization provides a useful interpretation of the corresponding approximating manifolds and leads to a simple framework that unifies some other approximation approaches in the literature. A self-contained survey is also included on the existence and attraction of one-parameter families of stochastic invariant manifolds, from the point of view of the theory of random dynamical systems. |
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