Reversible perturbations of conservative Henon-like maps

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 s...

Descripción completa

Detalles Bibliográficos
Autores: Gonchenko, Marina, Gonchenko, Sergey V., Safonov, Klim A.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/194397
Acceso en línea:https://hdl.handle.net/2445/194397
Access Level:acceso abierto
Palabra clave:Teoria de la bifurcació
Sistemes dinàmics diferenciables
Teoria ergòdica
Sistemes dinàmics de baixa dimensió
Bifurcation theory
Differentiable dynamical systems
Ergodic theory
Low-dimensional dynamical systems
id ES_0e919090e76bb01cdb9032cfe4dd4d1d
oai_identifier_str oai:diposit.ub.edu:2445/194397
network_acronym_str ES
network_name_str España
repository_id_str
spelling Reversible perturbations of conservative Henon-like mapsGonchenko, MarinaGonchenko, Sergey V.Safonov, Klim A.Teoria de la bifurcacióSistemes dinàmics diferenciablesTeoria ergòdicaSistemes dinàmics de baixa dimensióBifurcation theoryDifferentiable dynamical systemsErgodic theoryLow-dimensional dynamical systemsFor 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.American Institute of Mathematical Sciences (AIMS)2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/194397Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.3934/dcds.2020343Discrete and Continuous Dynamical Systems-Series A, 2021, vol. 41, num. 4, p. 1875-1895https://doi.org/10.3934/dcds.2020343(c) American Institute of Mathematical Sciences (AIMS), 2021info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1943972026-05-27T06:46:51Z
dc.title.none.fl_str_mv Reversible perturbations of conservative Henon-like maps
title Reversible perturbations of conservative Henon-like maps
spellingShingle Reversible perturbations of conservative Henon-like maps
Gonchenko, Marina
Teoria de la bifurcació
Sistemes dinàmics diferenciables
Teoria ergòdica
Sistemes dinàmics de baixa dimensió
Bifurcation theory
Differentiable dynamical systems
Ergodic theory
Low-dimensional dynamical systems
title_short Reversible perturbations of conservative Henon-like maps
title_full Reversible perturbations of conservative Henon-like maps
title_fullStr Reversible perturbations of conservative Henon-like maps
title_full_unstemmed Reversible perturbations of conservative Henon-like maps
title_sort Reversible perturbations of conservative Henon-like maps
dc.creator.none.fl_str_mv Gonchenko, Marina
Gonchenko, Sergey V.
Safonov, Klim A.
author Gonchenko, Marina
author_facet Gonchenko, Marina
Gonchenko, Sergey V.
Safonov, Klim A.
author_role author
author2 Gonchenko, Sergey V.
Safonov, Klim A.
author2_role author
author
dc.subject.none.fl_str_mv Teoria de la bifurcació
Sistemes dinàmics diferenciables
Teoria ergòdica
Sistemes dinàmics de baixa dimensió
Bifurcation theory
Differentiable dynamical systems
Ergodic theory
Low-dimensional dynamical systems
topic Teoria de la bifurcació
Sistemes dinàmics diferenciables
Teoria ergòdica
Sistemes dinàmics de baixa dimensió
Bifurcation theory
Differentiable dynamical systems
Ergodic theory
Low-dimensional dynamical systems
description 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.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/194397
url https://hdl.handle.net/2445/194397
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2020343
Discrete and Continuous Dynamical Systems-Series A, 2021, vol. 41, num. 4, p. 1875-1895
https://doi.org/10.3934/dcds.2020343
dc.rights.none.fl_str_mv (c) American Institute of Mathematical Sciences (AIMS), 2021
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Institute of Mathematical Sciences (AIMS), 2021
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869403404897353728
score 15.300719

Similares en LA Referencia