Abstract $\omega $-limit sets, chain recurrent sets, and basic sets for flows

DOI10.1090/S0002-9939-1976-0423423-XzbMath0334.58010OpenAlexW2001653360MaRDI QIDQ4101209

John E. Franke, James F. Selgrade

Publication date: 1977

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-1976-0423423-x

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

Canonical coordinates and the pseudo orbit tracing property ⋮ Collective dynamics and bifurcations in symmetric networks of phase oscillators. II ⋮ Weak chimeras in minimal networks of coupled phase oscillators ⋮ Topological stability: Some fundamental properties

Cites Work

• Unnamed Item
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Hyperbolicity and chain recurrence
• Neighborhoods of hyperbolic sets
• The \(\Omega\)-stability theorem for flows
• Differentiable dynamical systems

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