On the Conley index in the invariant manifolds

DOI10.1016/j.na.2011.06.014zbMath1225.37020OpenAlexW2062113943MaRDI QIDQ640161

Klaudiusz Wójcik

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.014

zbMATH Keywords

Conley indexfixed point indexlimit setsdissipative flowpermanence in ecological systems

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (2)

Regular blocks and Conley index of isolated invariant continua in surfaces ⋮ Flows in \(\mathbb {R}^2_+\) without interior fixed points, global attractors and bifurcations

Cites Work

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• On time-duality of the Conley index
• Saturated invariant sets and the boundary behaviour of differential systems
• A cup product pairing and time-duality for discrete dynamical systems
• On the discrete Conley index in the invariant subspace
• Isolated invariant sets in compact metric spaaces
• On rest points of dynamical systems
• Uniformly Persistent Systems
• Robust Permanence for Ecological Differential Equations, Minimax, and Discretizations
• Persistence in dynamical systems

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