The random case of Conley's theorem: II. The complete Lyapunov function

DOI10.1088/0951-7715/20/4/012zbMath1124.37031arXiv0710.5683OpenAlexW3103330940MaRDI QIDQ3593310

Zhenxin Liu

Publication date: 20 July 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5683

zbMATH Keywords

random dynamical systemschain recurrent setcomplete Lyapunov function

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) General theory of random and stochastic dynamical systems (37H05)

Related Items (10)

A direct proof of Conley's decomposition for well-posed hybrid inC30clusions ⋮ Strong Morse–Lyapunov functions for Morse decompositions of attractors of random dynamical systems ⋮ Conley's theorem for dispersive systems ⋮ A natural order in dynamical systems based on Conley-Markov matrices ⋮ Conley index for random dynamical systems ⋮ ATTRACTOR–REPELLER PAIR, MORSE DECOMPOSITION AND LYAPUNOV FUNCTION FOR RANDOM DYNAMICAL SYSTEMS ⋮ Morse decompositions of uniform random attractors ⋮ Random chain recurrent sets for random dynamical systems ⋮ Conley's Fundamental Theorem for a Class of Hybrid Systems ⋮ Review on computational methods for Lyapunov functions

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