Homotopy invariants of repeller-attractor pairs. II: Continuation of R-A pairs

DOI10.1016/0022-0396(83)90016-5zbMath0551.58022OpenAlexW2015797554MaRDI QIDQ801348

Henry L. Kurland

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90016-5

zbMATH Keywords

heteroclinic orbitsMorse decompositionscontinuous families of flows and semi-flowspairsrepeller-attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10)

Related Items

Following homology in singularly perturbed systems, The Connection Matrix Theory for Morse Decompositions, Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions, The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces, Continuation sheaves in dynamics: sheaf cohomology and bifurcation, The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces, The Morse index of an isolated invariant set is a connected simple system, Homotopy invariants of repeller-attractor pairs. I: The Puppe sequence of an R-A pair, Connected Simple Systems and The Conley Index of Isolated Invariant Sets, Morse decompositions and connection matrices, Nested sequences of index filtrations and continuation of the connection matrix, The Continuation Theory for Morse Decompositions and Connection Matrices, On the Two Definitions of the Conley Index

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