Recurrent orbits for flows on surfaces

DOI10.1016/j.jde.2007.09.006zbMath1132.37019OpenAlexW2089131432MaRDI QIDQ2475095

M. H. Vanderschoot, Nelson G. Markley

Publication date: 10 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.09.006

zbMATH Keywords

recurrent pointscovering transformations\(\omega\)-limit sets of orbitsgeometric properties of the lifted flowhomotopy properties of loops

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Flows on surfaces (37E35)

Cites Work

• Remote limit points on surfaces
• Local connectivity of limit sets
• ON THE BEHAVIOR IN THE EUCLIDEAN OR LOBACHEVSKY PLANE OF TRAJECTORIES THAT COVER TRAJECTORIES OF FLOWS ON CLOSED SURFACES. I
• Regular Families of Curves
• Introduction to Topological Manifolds
• An exotic flow on a compact surface
• ON SOME INVARIANTS OF DYNAMICAL SYSTEMS ON TWO-DIMENSIONAL MANIFOLDS (NECESSARY AND SUFFICIENT CONDITIONS FOR THE TOPOLOGICAL EQUIVALENCE OF TRANSITIVE DYNAMICAL SYSTEMS)
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