Morse decomposition of semiflows on fiber bundles

DOI10.3934/dcds.2007.17.561zbMath1120.37006OpenAlexW1981669270MaRDI QIDQ2372662

Mauro Patrão, Luiz A. B. San Martin

Publication date: 1 August 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2007.17.561

zbMATH Keywords

semigroupflag manifoldschain transitivityMorse decompositionssemi-simple Lie groups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Stability of topological dynamical systems (37B25) Foliations in differential topology; geometric theory (57R30) 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)

Related Items (14)

Lyapunov stability on fiber bundles ⋮ Semiflows on topological spaces: chain transitivity and semigroups ⋮ Morse decomposition of semiflows on topological spaces ⋮ Attractors and chain recurrence for semigroup actions ⋮ Finest Morse decompositions for semigroup actions on fiber bundles ⋮ Entropy for semigroup actions on general topological spaces ⋮ Morse decompositions of topological cocycles ⋮ Recurrence theorem for semigroup actions ⋮ Growth rates for semiflows on Hausdorff spaces ⋮ Global attractors in fiber bundles and right invariant systems ⋮ Some aspects of stability for semigroup actions and control systems ⋮ Algebraic description of chain transitivity for semigroup actions on flag bundles ⋮ On limit behavior of semigroup actions on noncompact spaces ⋮ On the structure of uniformly hyperbolic chain control sets

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