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The structure of flows exhibiting nontrivial recurrence on two- dimensional manifolds

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Publication:1058214
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DOI10.1016/0022-0396(85)90074-9zbMath0564.58029OpenAlexW1982185004MaRDI QIDQ1058214

C. J. Gardiner

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90074-9


zbMATH Keywords

nontrivial recurrenceorbit structure of flowsrecurrent orbit closure


Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)


Related Items

Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ Dependency of the positive and negative long-time behaviors of flows on surfaces ⋮ Maier's theorems and geodesic laminations of surface flows ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Rokhlin towers and closing for flows on T2



Cites Work

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  • Global structure of continuous flows on 2-manifolds
  • Monontone transformations of two-dimensional manifolds
  • The Poincare-Bendixson Theorem for the Klein Bottle
  • On the Number of Recurrent Orbit Closures
  • Topological Properties of the Solutions of Ordinary Differential Equations
  • Analytic Quasi-Periodic Curves of Discontinuous Type on a Torus
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