Topology of attractors and periodic points

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URI: https://hdl.handle.net/10481/96282
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Author
Ortega Ríos, Rafael; Ruiz Herrera, Alfonso
Editorial
American Institute of Mathematical Sciences (AIMS)
Date
2024-10
Referencia bibliográfica
Ortega Río,s R. & Ruíz Herrera, A. [doi:10.3934/cpaa.2024083]
Sponsorship
Spanish MICINN project PID2021-128418NA-I00
Abstract
The dynamics of a dissipative and area contracting planar homeomorphism were described in terms of the attractor. This was a subset of the plane defined as the maximal compact invariant set. We proved that the coexistence of two fixed points and an N-cycle produced some topological complexity: the attractor cannot be arcwise connected. The proofs were based on the theory of prime ends.
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional