On limit behavior of semigroup actions on noncompact spaces

DOI10.1090/S0002-9939-2012-11248-1zbMath1278.37026OpenAlexW1964154699MaRDI QIDQ2846750

Josiney A. Souza

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11248-1

zbMATH Keywords

semigroup actionschain recurrenceMorse decompositions

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)

Related Items (18)

Lyapunov stability on fiber bundles ⋮ Semigroup actions under compactifications: a view from control systems ⋮ Cantor-Kuratowski theorem in admissible spaces ⋮ On chain recurrence for bitransformation semigroups ⋮ Entropy for semigroup actions on general topological spaces ⋮ Complete Lyapunov functions of control systems ⋮ Morse decompositions of topological cocycles ⋮ Lyapunov stability for semigroup actions ⋮ Global attractors in fiber bundles and right invariant systems ⋮ Hyperconvergence in topological dynamics ⋮ On limit behavior of skew-product transformation semigroups ⋮ Chain transitivity for semigroup actions on flag bundles ⋮ LEBESGUE COVERING LEMMA ON NONMETRIC SPACES ⋮ On attractors and stability for semigroup actions and control systems ⋮ Unnamed Item ⋮ A characterization of completely regular spaces ⋮ Existence and uniqueness for directional attractors of topological cocycles ⋮ Attraction, Lyapunov stability and orbital maps for semigroup actions on topological spaces and fiber bundles

Cites Work

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• Dynamic Morse decompositions for semigroups of homeomorphisms and control systems
• Attractors and chain recurrence for semigroup actions
• Finest Morse decompositions for semigroup actions on fiber bundles
• Chain control sets for semigroup actions
• Chain recurrent sets for flows on non-compact spaces
• Chain recurrence, semiflows, and gradients
• Semiflows on topological spaces: chain transitivity and semigroups
• Morse decomposition of semiflows on topological spaces
• Morse decomposition of semiflows on fiber bundles
• Chain transitive sets for flows on flag bundles
• Chain recurrence and attraction in non-compact spaces
• Noncompact Chain Recurrence and Attraction
• Lyapunov functions and attractors in arbitrary metric spaces
• The dynamics of control. With an appendix by Lars Grüne

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