A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems

DOI10.1006/jdeq.1997.3401zbMath0913.34039OpenAlexW2077015819MaRDI QIDQ1265106

Francisco Balibrea, Víctor Jiménez Lopéz

Publication date: 19 November 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3401

zbMATH Keywords

singular points\(\omega\)-limit setsJordan curvestrajectory\(k\)-realizable system

Mathematics Subject Classification ID

Related Items (10)

Configurations of limit cycles in Liénard equations ⋮ On statistical ω-limit sets in a discrete dynamical system ⋮ The Poincaré-Bendixson theorem: from Poincaré to the XXIst century ⋮ Accumulation points of nonrecurrent orbits of surface flows. ⋮ Configurations of limit cycles and planar polynomial vector fields. ⋮ A topological characterization of the \(\omega \)-limit sets for analytic flows on the plane, the sphere and the projective plane ⋮ A Characterization of ω-Limit Sets of Nonrecurrent Orbits in $\mathbb S^n$ ⋮ On the Markus-Neumann theorem ⋮ EMPTY INTERIOR RECURRENCE FOR CONTINUOUS FLOWS ON SURFACES ⋮ INTERTWINED BASINS OF ATTRACTION IN PLANAR SYSTEMS

Cites Work

• The structure of \(\omega\)-limit sets for continuous functions
• Inverse problems for dynamical systems
• What sets can be \(\omega\)-limit sets in \(E^ n\)?
• Each Peano subspace of \(E^ k\) is an \(\omega\)-limit set
• On the Accumulation of Limit Cycles
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems