The \(\Omega\)-limit set and the limit set of subsets.

DOI10.1016/S0960-0779(02)00155-8zbMath1070.37008OpenAlexW2067103020MaRDI QIDQ1419162

Changming Ding

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00155-8

zbMATH Keywords

\(\omega\)-limit set of flows\(\Omega\)-limit set of subsets

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (4)

\(\omega\)-limit sets from nonrecurrent points of flows on manifolds ⋮ A criterion on compactness of the set of bounded solutions ⋮ Asymptotic properties of multifunctions, families of measures and Markov operators associated with cocycles ⋮ Some properties of attractors and quasi-attractors

Cites Work

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• Some properties of invariant sets of a flow
• Topological entropy of distal affine transformations on compact abelian groups
• Some abstract properties of the set of invariant sets of a flow
• The gradient structure of a flow: I
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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