Conley indexes and stable sets for flows on flag bundles

DOI10.1080/14689360802676251zbMath1179.37022arXiv0804.1943OpenAlexW2021234560MaRDI QIDQ5321914

Lucas Seco, Mauro Patrão, Luiz A. B. San Martin

Publication date: 16 July 2009

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1943

zbMATH Keywords

Conley indexstable setsMorse decompositionflows on flag bundles

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Lyapunov stability on fiber bundles ⋮ The minimal Morse components of translations on flag manifolds are normally hyperbolic ⋮ Differentiability of Lyapunov exponents ⋮ Orientability of vector bundles over real flag manifolds ⋮ Conditions for equality between Lyapunov and Morse decompositions

Cites Work

• Unnamed Item
• Unnamed Item
• A spectral theory for linear differential systems
• Integral homology of real flag manifolds and loop spaces of symmetric spaces
• Schubert cells and flag space cohomologies
• Morse decomposition of semiflows on topological spaces
• Jordan decomposition and dynamics on flag manifolds
• On topological equivalence of linear lows with applications to bilinear control systems
• Groupes reductifs
• Chain transitive sets for flows on flag bundles
• Morse equations and unstable manifolds of isolated invariant sets
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations