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Canonical coordinates and the pseudo orbit tracing property

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Publication:1176496
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DOI10.1016/0022-0396(91)90151-XzbMath0737.58045MaRDI QIDQ1176496

Romeo F. Thomas

Publication date: 25 June 1992

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


zbMATH Keywords

canonical coordinatespseudo orbittracing property


Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems with hyperbolic behavior (37D99)


Related Items

Quasi-shadowing for partially hyperbolic flows with a local product structure ⋮ Inverse shadowing for structurally stable flows ⋮ Geodesic Flows Modelled by Expansive Flows



Cites Work

  • Unnamed Item
  • Topological stability: Some fundamental properties
  • Equivalent conditions for hyperbolic coordinates
  • Expansive canonical coordinates are hyperbolic
  • \(\omega\)-limit sets for axiom A diffeomorphisms
  • Hyperbolicity and chain recurrence
  • The \(\Omega\)-stability theorem for flows
  • Expansive one-parameter flows
  • Entropy of expansive flows
  • Stability Properties of One-Parameter Flows
  • Real-expansive flows and topological dimension
  • Abstract $\omega $-limit sets, chain recurrent sets, and basic sets for flows
  • Symbolic Dynamics for Hyperbolic Flows
  • Differentiable dynamical systems
  • Invariant manifolds
  • Periodic Orbits for Hyperbolic Flows
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