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Morse decompositions in the absence of uniqeness.

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Publication:696167
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DOI10.12775/TMNA.2001.032zbMath1035.37019OpenAlexW2528611591MaRDI QIDQ696167

Krzysztof P. Rybakowski, Maria C. Carbinatto

Publication date: 22 February 2004

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2001.032


zbMATH Keywords

Conley indexattractor-repeller pairMorse decompositionstrongly indefinite elliptic system


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Index theory for dynamical systems, Morse-Conley indices (37B30)


Related Items (5)

Conley index and tubular neighborhoods. II. ⋮ Tubular neighborhoods and continuation of Morse decompositions ⋮ TOWARDS A MORSE THEORY FOR RANDOM DYNAMICAL SYSTEMS ⋮ Nested sequences of index filtrations and continuation of the connection matrix ⋮ Singular dynamics of strongly damped beam equation




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