On a Morse conjecture for analytic flows on compact surfaces

DOI10.1016/j.jde.2009.08.023zbMath1189.37003OpenAlexW2166939008WikidataQ123353218 ScholiaQ123353218MaRDI QIDQ1038492

Gabriel Soler López, Habib Marzougui

Publication date: 18 November 2009

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

Full work available at URL: http://hdl.handle.net/10317/1177

zbMATH Keywords

orbittopological transitivity\(\omega\)-limit setmetrical transitivityanalytic flowMorse conjecture

Mathematics Subject Classification ID

Flows on surfaces (37E35) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Cites Work

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• Dynamical systems on surfaces. Transl. from the French by H. G. Helfenstein
• On Morse conjecture of metric transitivity
• Accumulation points of nonrecurrent orbits of surface flows.
• Transitive flows on manifolds.
• A topological characterization of the \(\omega \)-limit sets for analytic flows on the plane, the sphere and the projective plane
• On the Accumulation of Limit Cycles
• An ergodic theorem for flows on closed surfaces
• An exact sequence in differential topology
• Obstructions to the smoothing of piecewise-differentiable homeomorphisms

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