A Topological Persistence Theorem for Normally Hyperbolic Manifolds via the Conley Index

DOI10.2307/2001579zbMath0708.58014OpenAlexW4239144531MaRDI QIDQ3490661

Andreas Floer

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001579

zbMATH Keywords

stabilitynormally hyperbolic manifold

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation ⋮ Persistence of normally hyperbolic invariant manifolds in the absence of rate conditions ⋮ The Conley index for discrete dynamical systems and the mapping torus

Cites Work

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• On invariant sets and invariant manifolds of differential systems
• A refinement of the Conley index and an application to the stability of hyperbolic invariant sets
• Invariant manifolds

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