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- Conley_index_theory abstract "In dynamical systems theory, Conley index theory, named after Charles Conley, analyzes topological structure of invariant sets of diffeomorphisms and of smooth flows. It is a far-reaching generalization of the Hopf index theorem that predicts existence of fixed points of a flow inside a planar region in terms of information about its behavior on the boundary. Conley's theory is related to Morse theory, which describes the topological structure of a closed manifold by means of a nondegenerate gradient vector field. It has an enormous range of applications to the study of dynamics, including existence of periodic orbits in Hamiltonian systems and travelling wave solutions for partial differential equations, structure of global attractors for reaction-diffusion equations and delay differential equations, proof of chaotic behavior in dynamical systems, and bifurcation theory. Conley index theory formed the basis for development of Floer homology.".
- Conley_index_theory wikiPageExternalLink SeparationOfTopologicalSingularities.
- Conley_index_theory wikiPageExternalLink 25-281397.pdf.
- Conley_index_theory wikiPageExternalLink 1874575X.
- Conley_index_theory wikiPageID "22756507".
- Conley_index_theory wikiPageRevisionID "512443566".
- Conley_index_theory author "Thomas Bartsch".
- Conley_index_theory hasPhotoCollection Conley_index_theory.
- Conley_index_theory id "C/c130190".
- Conley_index_theory title "Conley index".
- Conley_index_theory subject Category:Differential_topology.
- Conley_index_theory subject Category:Fixed_points_(mathematics).
- Conley_index_theory subject Category:Topological_dynamics.
- Conley_index_theory comment "In dynamical systems theory, Conley index theory, named after Charles Conley, analyzes topological structure of invariant sets of diffeomorphisms and of smooth flows. It is a far-reaching generalization of the Hopf index theorem that predicts existence of fixed points of a flow inside a planar region in terms of information about its behavior on the boundary.".
- Conley_index_theory label "Conley index theory".
- Conley_index_theory sameAs m.05ztd9f.
- Conley_index_theory sameAs Q5161242.
- Conley_index_theory sameAs Q5161242.
- Conley_index_theory wasDerivedFrom Conley_index_theory?oldid=512443566.
- Conley_index_theory isPrimaryTopicOf Conley_index_theory.