\(\omega\)-limit sets from nonrecurrent points of flows on manifolds

DOI10.1016/j.topol.2005.01.024zbMath1085.37013OpenAlexW2004721658MaRDI QIDQ818426

Gabriel Soler López

Publication date: 20 March 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.01.024

zbMATH Keywords

orbitflow\(\omega \)-limit set\(\omega \)-boundary open set

Mathematics Subject Classification ID

Cites Work

• A topological characterization of \(\omega\)-limit sets for continuous flows on the projective plane
• Flows on 2-dimensional manifolds. An overview
• The \(\Omega\)-limit set and the limit set of subsets.
• Accumulation points of nonrecurrent orbits of surface flows.
• Lyapunov stability of \(\omega\)-limit sets
• Accumulation points of flows on the Klein bottle
• Transitive flows on manifolds.
• Flows on closed surfaces and behavior of trajectories lifted to the universal covering plane
• Some Examples of Transitive Smooth Flows on Differentiable Manifolds
• Transitive Flows on Two-Dimensional Manifolds
• Flows without minimal set
• An example of a flow on a non-compact surface without minimal set
• A Characterization of ω-Limit Sets of Nonrecurrent Orbits in $\mathbb S^n$
• A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds

This page was built for publication: \(\omega\)-limit sets from nonrecurrent points of flows on manifolds