Bifurcations, robustness and shape theory of attractors of discrete dynamical systems
| Autor: | Héctor Barge, José Manuel Rodríguez Sanjurjo, Antonio Giraldo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Dynamical systems theory Plane (geometry) Applied Mathematics 010102 general mathematics Mathematics::General Topology Dynamical Systems (math.DS) 01 natural sciences 010101 applied mathematics Nonlinear Sciences::Chaotic Dynamics Robustness (computer science) Modeling and Simulation Attractor FOS: Mathematics Geometry and Topology 0101 mathematics Invariant (mathematics) Mathematics - Dynamical Systems Bifurcation Mathematics |
| Popis: | We study in this paper global properties, mainly of topological nature, of attractors of discrete dynamical systems. We consider the Andronov-Hopf bifurcation for homeomorphisms of the plane and establish some robustness properties for attractors of such homeomorphisms. We also give relations between attractors of flows and quasi-attractors of homeomorphisms in Rn. Finally, we give a result on the shape (in the sense of Borsuk) of invariant sets of IFSs on the plane, and make some remarks about the recent theory of Conley attractors for IFS. 14 pages, 2 figures, Comments are welcomed |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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