Decompositions and Liapounov functions

DOI10.1016/S0960-0779(00)00253-8zbMath1007.37004OpenAlexW1972921937WikidataQ128066092 ScholiaQ128066092MaRDI QIDQ5950946

Tusen Huang

Publication date: 2 January 2002

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00253-8

zbMATH Keywords

Lyapunov functionsattractor-repeller paircompact invariant subsetscompact metric spaceMorse decomposition

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Compact (locally compact) metric spaces (54E45)

Related Items (5)

A criterion on compactness of the set of bounded solutions ⋮ The \(\omega \)-limit sets of a flow and periodic orbits ⋮ On a conjecture of Conley ⋮ Some properties of attractors and quasi-attractors ⋮ ATTRACTOR–REPELLER PAIR, MORSE DECOMPOSITION AND LYAPUNOV FUNCTION FOR RANDOM DYNAMICAL SYSTEMS

Cites Work

• Unnamed Item
• Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
• The Connection Matrix Theory for Morse Decompositions
• The Continuation Theory for Morse Decompositions and Connection Matrices
• Existence of Generalized Homoclinic Orbits for one Parameter Families of Flows
• Connecting orbits in one-parameter families of flows
• A connection matrix analysis of ecological models
• The gradient structure of a flow: I

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