Chain transitive sets for flows on flag bundles

DOI10.1515/FORUM.2007.002zbMath1131.37011MaRDI QIDQ3434264

Luiz A. B. San Martin, Carlos José Braga Barros

Publication date: 24 April 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Semisimple Lie groups and their representations (22E46) 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 (27)

Invariance entropy for a class of partially hyperbolic sets ⋮ Lyapunov stability on fiber bundles ⋮ Morse decomposition of semiflows on topological spaces ⋮ On the global behavior of linear flows ⋮ Morse decompositions of nonautonomous dynamical systems ⋮ On chain recurrence for bitransformation semigroups ⋮ Hyperbolic chain control sets on flag manifolds ⋮ Conley indexes and stable sets for flows on flag bundles ⋮ Differentiability of Lyapunov exponents ⋮ Attractors and chain recurrence for semigroup actions ⋮ Finest Morse decompositions for semigroup actions on fiber bundles ⋮ Recurrence theorem for semigroup actions ⋮ Dynamic Morse decompositions for semigroups of homeomorphisms and control systems ⋮ Lyapunov stability for semigroup actions ⋮ Global attractors in fiber bundles and right invariant systems ⋮ Algebraic description of chain transitivity for semigroup actions on flag bundles ⋮ On topological equivalence of linear lows with applications to bilinear control systems ⋮ Control systems on flag manifolds and their chain control sets ⋮ Chain transitivity for semigroup actions on flag bundles ⋮ Morse and Lyapunov spectra and dynamics on flag bundles ⋮ On the number of maximal chain transitive sets in fiber bundles ⋮ Topological fiber entropy for linear flows on vector bundles ⋮ Chain recurrence, growth rates and ergodic limits ⋮ Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds ⋮ Unnamed Item ⋮ On limit behavior of semigroup actions on noncompact spaces ⋮ On the structure of uniformly hyperbolic chain control sets

Cites Work

• A spectral theory for linear differential systems
• Transitive actions of semigroups in semi-simple Lie groups
• Semigroup actions on homogeneous spaces
• The homotopy type of Lie semigroups in semi-simple Lie groups
• Invariant control sets on flag manifolds
• Morse decompositions and spectra on flag bundles
• Groupes reductifs
• Maximal semigroups in semi-simple Lie groups
• Flows on Vector Bundles and Hyperbolic Sets
• Morse decompositions and connection matrices
• The gradient structure of a flow: I
• Discrete-Time Transitivity and Accessibility: Analytic Systems
• Isolated Invariant Sets for Flows on Vector Bundles
• Nonexistence of invariant semigroups in affine symmetric spaces

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