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Topological \(\Omega\)-stability of axiom A flows with no- \(\Omega\)- explosions

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Publication:600148
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DOI10.1016/0022-0396(79)90031-7zbMath0415.58014OpenAlexW2006008739MaRDI QIDQ600148

Kazuhisa Kato, Akihiko Morimoto

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90031-7

zbMATH Keywords

axiom a flowsomega-explosionstopological omega-stability


Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)


Related Items

Explosions of chaotic sets, One-parameter flows with the pseudo-orbit tracing property



Cites Work

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  • \(\omega\)-limit sets for axiom A diffeomorphisms
  • Hyperbolicity and chain recurrence
  • Stability theorems and hyperbolicity in dynamical systems
  • On a theorem of Anosov
  • Anosov diffeomorphisms are topologically stable
  • Neighborhoods of hyperbolic sets
  • The \(\Omega\)-stability theorem for flows
  • On semi-stability for diffeomorphisms
  • Expansive one-parameter flows
  • Topological stability of Anosov flows and their centralizers
  • On periodic orbits of stable flows
  • Differentiable dynamical systems
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