On the shape Conley index theory of semiflows on complete metric spaces

DOI10.3934/dcds.2016.36.1629zbMath1341.37007OpenAlexW2527457672MaRDI QIDQ256176

Jintao Wang, Jin-qiao Duan, De-Sheng Li

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.1629

zbMATH Keywords

complete metric spacelocal semiflowMorse equationshape indexshape index pair

Mathematics Subject Classification ID

Index theory for dynamical systems, Morse-Conley indices (37B30) Stability theory for smooth dynamical systems (37C75)

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Cites Work

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• Pointed shape and global attractors for metrizable spaces
• The homotopy index and partial differential equations
• Geometric theory of semilinear parabolic equations
• Shape theory. An introduction
• Infinite-dimensional dynamical systems in mechanics and physics.
• Shape of global attractors in topological spaces
• An approach to the shape Conley index without index pairs
• Shape and Conley Index of Attractors and Isolated Invariant Sets
• Morse equations and unstable manifolds of isolated invariant sets
• Shape and Morse theory of attractors
• Dynamical systems, shape theory and the Conley index

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