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http://hdl.handle.net/2445/145025
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DC Field | Value | Language |
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dc.contributor.author | Gonchenko, Marina | - |
dc.contributor.author | Gonchenko, S. V. | - |
dc.contributor.author | Ovyannnikov, I. | - |
dc.contributor.author | Vieiro Yanes, Arturo | - |
dc.date.accessioned | 2019-11-18T13:02:58Z | - |
dc.date.available | 2019-12-31T06:10:21Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 1054-1500 | - |
dc.identifier.uri | http://hdl.handle.net/2445/145025 | - |
dc.description.abstract | We study the 1:4 resonance for the conservative cubic Henon maps C6 with positive and negative cubic terms. These maps show up different bifurcation structures both for fixed points with eigenvalues 6i and for 4-periodic orbits. While for C-, the 1:4 resonance unfolding has the so-called Arnold degeneracy [the first Birkhoff twist coefficient equals (in absolute value) to the first resonant term coefficient], the map Cþ has a different type of degeneracy because the resonant term can vanish. In the last case, non-symmetric points are created and destroyed at pitchfork bifurcations and, as a result of global bifurcations, the 1:4 resonant chain of islands rotates by p/4. For both maps, several bifurcations are detected and illustrated. | - |
dc.format.extent | 16 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Institute of Physics | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1063/1.5022764 | - |
dc.relation.ispartof | Chaos, 2018, vol. 28, num. 4, p. 043123 | - |
dc.relation.uri | https://doi.org/10.1063/1.5022764 | - |
dc.rights | (c) American Institute of Physics , 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Sistemes dinàmics complexos | - |
dc.subject.classification | Ressonància | - |
dc.subject.other | Complex dynamical systems | - |
dc.subject.other | Resonance | - |
dc.title | On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 680559 | - |
dc.date.updated | 2019-11-18T13:02:58Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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680559.pdf | 9.55 MB | Adobe PDF | View/Open |
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