Hyperbolicity and Cycles

DOI10.2307/1998865zbMath0396.58023OpenAlexW4229548102MaRDI QIDQ4179570

James F. Selgrade, John E. Franke

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998865

zbMATH Keywords

Axiom ASpectral DecompositionCycle PointsQuasihyperbolic Invariant Sets

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

Symbolic extensions and smooth dynamical systems ⋮ Global attractors in competitive systems ⋮ One-parameter flows with the pseudo-orbit tracing property ⋮ Topological stability: Some fundamental properties

Cites Work

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• Hyperbolicity and chain recurrence
• On Smale's axiom A dynamical systems
• The \(\Omega\)-stability theorem for flows
• Abstract ω-Limit Sets, Chain Recurrent Sets, and Basic Sets for Flows
• A Geometric Criterion for Hyperbolicity of Flows
• Quasi-Anosov Diffeomorphisms and Hyperbolic Manifolds
• Differentiable dynamical systems
• Hyperbolic Limit Sets

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