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http://hdl.handle.net/2445/194397
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DC Field | Value | Language |
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dc.contributor.author | Gonchenko, Marina | - |
dc.contributor.author | Gonchenko, Sergey V. | - |
dc.contributor.author | Safonov, Klim A. | - |
dc.date.accessioned | 2023-03-01T19:12:51Z | - |
dc.date.available | 2023-03-01T19:12:51Z | - |
dc.date.issued | 2021-04 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/2445/194397 | - |
dc.description.abstract | For area-preserving Hénon-like maps and their compositions, we consider smooth perturbations that keep the reversibility of the initial maps but destroy their conservativity. For constructing such perturbations, we use two methods, a new method based on reversible properties of maps written in the so-called cross-form, and the classical Quispel-Roberts method based on a variation of involutions of the initial map. We study symmetry breaking bifurcations of symmetric periodic orbits in reversible families containing quadratic conservative orientable and nonorientable Hénon maps as well as a product of two Hénon maps whose Jacobians are mutually inverse. | - |
dc.format.extent | 21 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2020343 | - |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems-Series A, 2021, vol. 41, num. 4, p. 1875-1895 | - |
dc.relation.uri | https://doi.org/10.3934/dcds.2020343 | - |
dc.rights | (c) American Institute of Mathematical Sciences (AIMS), 2021 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de la bifurcació | - |
dc.subject.classification | Sistemes dinàmics diferenciables | - |
dc.subject.classification | Teoria ergòdica | - |
dc.subject.classification | Sistemes dinàmics de baixa dimensió | - |
dc.subject.other | Bifurcation theory | - |
dc.subject.other | Differentiable dynamical systems | - |
dc.subject.other | Ergodic theory | - |
dc.subject.other | Low-dimensional dynamical systems | - |
dc.title | Reversible perturbations of conservative Henon-like maps | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 730962 | - |
dc.date.updated | 2023-03-01T19:12:51Z | - |
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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730962.pdf | 410.15 kB | Adobe PDF | View/Open |
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