Generalized recurrence and the nonwandering set for products

DOI10.1016/j.topol.2017.01.010zbMath1369.37018arXiv1607.03465OpenAlexW2964263202MaRDI QIDQ511056

Jim Wiseman

Publication date: 14 February 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03465

zbMATH Keywords

nonwandering setchain recurrencegeneralized recurrencerecurrence for product mapsstrong chain recurrence

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (4)

Strong chain transitivity via uniformity ⋮ Chain recurrent points of monotone graph maps and CR-Pm property on local dendrites ⋮ Generalized recurrence and the nonwandering set for products ⋮ Chain recurrence and strong chain recurrence on uniform spaces

Cites Work

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• Generalized recurrence and the nonwandering set for products
• Topological dynamical systems. An introduction to the dynamics of continuous mappings
• On weak product recurrence and synchronization of return times
• Generalized recurrence, compactifications, and the Lyapunov topology
• On the Iterations of Diffeomorphisms without C 0 -Ω-Explosions: An Example
• Non-wandering sets of the powers of maps of the interval
• On strong chain recurrence for maps
• Aubry–Mather theory for homeomorphisms

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