The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces

DOI10.1016/0022-0396(88)90028-9zbMath0676.54048OpenAlexW2066967910MaRDI QIDQ1122815

Robert D. Franzosa, Konstantin Mischaikow

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90028-9

zbMATH Keywords

connection matrix theoryindex filtrationpartially ordered Morse decompositions

Mathematics Subject Classification ID

Related Items (20)

An Algorithmic Approach to Lattices and Order in Dynamics ⋮ The Connection Matrix Theory for Morse Decompositions ⋮ Conley index and tubular neighborhoods. II. ⋮ Tubular neighborhoods and continuation of Morse decompositions ⋮ A non-autonomous Conley index ⋮ Nonautonomous Conley index theory. the homology index and attractor-repeller decompositions ⋮ Nonautonomous Conley index theory. Continuation of Morse-decompositions ⋮ A product theorem for connection matrices and the structure of connecting orbits ⋮ The Morse equation in the Conley index theory for discrete multivalued dynamical systems ⋮ A dynamical system approach to a phase transition problem ⋮ Lattice structures for attractors. II ⋮ Algebraic transition matrices in the Conley index theory ⋮ Nested sequences of index filtrations and continuation of the connection matrix ⋮ Lattice structures for attractors. I ⋮ Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding ⋮ The Continuation Theory for Morse Decompositions and Connection Matrices ⋮ Large patterns of elliptic systems in infinite cylinders ⋮ COMPUTATION OF CONNECTION MATRICES USING THE SOFTWARE PACKAGE conley ⋮ Singular dynamics of strongly damped beam equation ⋮ Conley's Fundamental Theorem for a Class of Hybrid Systems

Cites Work

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• Homotopy invariants of repeller-attractor pairs. II: Continuation of R-A pairs
• Subharmonic solutions and Morse theory
• 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
• 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
• A Morse equation in Conley's index theory for semiflows on metric spaces
• On the Homotopy Index for Infinite-Dimensional Semiflows

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