A dynamical approach to shape

DOI10.15673/tmgc.v15i1.1860MaRDI QIDQ6051454

Martin Shoptrajanov

Publication date: 20 September 2023

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

zbMATH Keywords

shapeintrinsic shapeproximate sequence

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Shape theory in general topology (54C56) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Pointed shape and global attractors for metrizable spaces
• On the connectedness of attractors for dynamical systems
• Shape theory. An introduction
• Global attractors: Topology and finite-dimensional dynamics
• On the structure of uniform attractors
• On the global structure of invariant regions of flows with asymptotically stable attractors
• Generalized Bebutov systems: A dynamical interpretation of shape.
• Localization of the chain recurrent set using shape theory and symbolical dynamics
• Every Attractor of a Flow on a Manifold has the Shape of a Finite Polyhedron
• A NON-CONTINUOUS DESCRIPTION OF THE SHAPE CATEGORY OF COMPACTA
• Strong Shape for Topological Spaces
• ε-Continuity and Shape
• Shape and Morse theory of attractors
• Dynamical systems, shape theory and the Conley index
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