Gradient Infinite-Dimensional Random Dynamical Systems
作者： Tomás Caraballo , José A. Langa , Zhenxin Liu
DOI: 10.1137/120862752
关键词:
摘要: In this paper we introduce the concept of a gradient random dynamical system as semiflow possessing continuous Lyapunov function which describes asymptotic regime system. Thus, are able to analyze properties on attractor described by its Morse decomposition for infinite-dimensional systems. particular, if is characterized family invariant compact sets, show equivalence among stability family, attractor, and existence function.
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