Generalizations of SRB Measures to Nonautonomous, Random, and Infinite Dimensional Systems
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- 作者：Lai-Sang Young
- 关键词：SRB measures ; Entropy ; Lyapunov exponents ; Periodic forcing ; Random perturbations ; Infinite dimensional systems
- 刊名：Journal of Statistical Physics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：166
- 期：3-4
- 页码：494-515
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Statistical Physics and Dynamical Systems; Theoretical, Mathematical and Computational Physics; Physical Chemistry; Quantum Physics;
- 出版者：Springer US
- ISSN：1572-9613
- 卷排序：166
文摘
We review some developments that are direct outgrowths of, or closely related to, the idea of SRB measures as introduced by Sinai, Ruelle and Bowen in the 1970s. These new directions of research include the emergence of strange attractors in periodically forced dynamical systems, random attractors in systems defined by stochastic differential equations, SRB measures for infinite dimensional systems including those defined by large classes of dissipative PDEs, quasi-static distributions for slowly varying time-dependent systems, and surviving distributions in leaky dynamical systems.