Topological robustness of non-saddle sets

DOI10.1016/j.topol.2009.03.020zbMath1175.54030OpenAlexW2057529256MaRDI QIDQ1030200

Jose M. Rodriguez Sanjurjo, Antonio Giraldo

Publication date: 1 July 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.03.020

zbMATH Keywords

isolated invariant setshape theoryshape equivalencecontinuation of non-saddle setsdyamical system

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Shape theory in general topology (54C56) Shape theory (55P55)

Related Items (4)

Regular blocks and Conley index of isolated invariant continua in surfaces ⋮ Unstable manifold, Conley index and fixed points of flows ⋮ Čech cohomology, homoclinic trajectories and robustness of non-saddle sets ⋮ Dissonant points and the region of influence of non-saddle sets

Cites Work

• Shape theory. An introduction
• On the structure of uniform attractors
• On the global structure of invariant regions of flows with asymptotically stable attractors
• On invariant sets
• Every Attractor of a Flow on a Manifold has the Shape of a Finite Polyhedron
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• An Intrinsic Description of Shape
• The gradient structure of a flow: I
• Multihomotopy, Čech Spaces of loops and Shape Groups
• Morse equations and unstable manifolds of isolated invariant sets
• Lusternik‐Schnirelmann category and Morse decompositions
• Isolated Invariant Sets and Isolating Blocks
• Some duality properties of non-saddle sets
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