Conley decomposition for closed relations

DOI10.1080/00207210500171620zbMath1087.37013OpenAlexW2080819368MaRDI QIDQ3377947

Richard McGehee, Tamas I. Wiandt

Publication date: 29 March 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207210500171620

zbMATH Keywords

topologyHausdorff spaceattractor-repeller structureConley decomposition theorem

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (18)

Stability and stabilization of linear positive systems on time scales ⋮ Attractor decompositions for closed binary relations on compact Hausdorff spaces ⋮ A direct proof of Conley's decomposition for well-posed hybrid inC30clusions ⋮ Liapunov functions for closed relations ⋮ A note on the Conley attractors of lower semicontinuous multifunctions ⋮ Morse connection graphs for piecewise constant vector fields on surfaces ⋮ Matrices over a semiring of binary relations and \(V\)-variable fractals ⋮ Minimal invariant closed sets of set-valued semiflows ⋮ Lattice structures for attractors. II ⋮ The chaos game on a general iterated function system ⋮ 2-manifolds and inverse limits of set-valued functions on intervals ⋮ SYMMETRIC ITINERARY SETS ⋮ The Chaos Game on a General Iterated Function System from a Topological Point of View ⋮ Developments in fractal geometry ⋮ Conley's Fundamental Theorem for a Class of Hybrid Systems ⋮ THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM ⋮ Topological bifurcations of minimal invariant sets for set-valued dynamical systems ⋮ Efficient computation of Lyapunov functions for Morse decompositions

Cites Work

• Hyperbolic sets for noninvertible maps and relations
• A new proof of the stable manifold theorem
• Liapunov functions for closed relations
• The gradient structure of a flow: I
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