On strong chain recurrence for maps

DOI10.4064/ap114-2-6zbMath1358.37035OpenAlexW2463505774MaRDI QIDQ5259633

Katsuya Yokoi

Publication date: 26 June 2015

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap114-2-6

zbMATH Keywords

Lyapunov functionchain recurrence

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items

Strong chain transitivity via uniformity ⋮ The generalized recurrent set, explosions and Lyapunov functions ⋮ SOME PROPERTIES OF STRONG CHAIN TRANSITIVE MAPS ⋮ Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set ⋮ The generalized recurrent set and strong chain recurrence ⋮ Generalized recurrence and the nonwandering set for products ⋮ Chain recurrence and strong chain recurrence on uniform spaces ⋮ A Conley-type Lyapunov function for the strong chain recurrent set

Cites Work

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• Some properties of the chain recurrent set of dynamical systems.
• Non-wandering points and the depth for graph maps
• SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SET
• The chain recurrent set, attractors, and explosions
• Chain recurrence and attraction in non-compact spaces
• Chain transitivity and Lipschitz ergodicity
• On Strong Chain Classes of Homeomorphisms of Compact Metric Spaces

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