On a conjecture of Conley

DOI10.1016/S0960-0779(03)00209-1zbMath1053.37003OpenAlexW2000197581MaRDI QIDQ1433569

Tusen Huang, Changming Ding

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00209-1

zbMATH Keywords

nonwandering setchain recurrent setupper and lower semicontinuity

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (1)

A criterion on compactness of the set of bounded solutions

Cites Work

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• \(\omega\)-limit sets for axiom A diffeomorphisms
• Some abstract properties of the set of invariant sets of a flow
• The gradient structure of a flow: I
• Decompositions and Liapounov functions

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