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Topology of attractors and periodic points
dc.contributor.author | Ortega Ríos, Rafael | |
dc.contributor.author | Ruiz Herrera, Alfonso | |
dc.date.accessioned | 2024-10-23T11:16:40Z | |
dc.date.available | 2024-10-23T11:16:40Z | |
dc.date.issued | 2024-10 | |
dc.identifier.citation | Ortega Río,s R. & Ruíz Herrera, A. [doi:10.3934/cpaa.2024083] | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/96282 | |
dc.description.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. | es_ES |
dc.description.sponsorship | Spanish MICINN project PID2021-128418NA-I00 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Topology of attractors and periodic points | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.3934/cpaa.2024083 | |
dc.type.hasVersion | SMUR | es_ES |