A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering

In the context of nonhyperbolic chaotic scattering, it has been shown that the evolution of the KAM islands exhibits four abrupt metamorphoses that strongly affect the predictability of Hamiltonian systems. It has been suggested that these metamorphoses are related to significant changes in the stru...

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Authors: Nieto, A. R., Seoane, J. M., Barrio, R., Sanjuan, M. A. F.
Format: article
Status:Published version
Publication Date:2022
Country:España
Institution:Universidad de Zaragoza
Repository:Zaguán. Repositorio Digital de la Universidad de Zaragoza
OAI Identifier:oai:zaguan.unizar.es:118661
Online Access:http://zaguan.unizar.es/record/118661
Access Level:Open access
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spelling A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scatteringNieto, A. R.Seoane, J. M.Barrio, R.Sanjuan, M. A. F.In the context of nonhyperbolic chaotic scattering, it has been shown that the evolution of the KAM islands exhibits four abrupt metamorphoses that strongly affect the predictability of Hamiltonian systems. It has been suggested that these metamorphoses are related to significant changes in the structure of the KAM islands. However, previous research has not provided an explanation of the mechanisms underlying the metamorphoses. Here, we show that they occur due to the formation of a homoclinic or heteroclinic tangle that breaks the internal structure of the main KAM island. We obtain similar qualitative results in a two-dimensional Hamiltonian system and a two-dimensional area-preserving map. The equivalence of the results obtained in both systems suggests that the same four metamorphoses play an important role in conservative systems.2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://zaguan.unizar.es/record/118661reponame:Zaguán. Repositorio Digital de la Universidad de Zaragozainstname:Universidad de ZaragozaInglésinfo:eu-repo/grantAgreement/ES/AEI/PID2019-105554GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17Rinfo:eu-repo/grantAgreement/ES/DGA/LMP124-18info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00info:eu-repo/semantics/openAccessoai:zaguan.unizar.es:1186612026-05-29T13:59:51Z
dc.title.none.fl_str_mv A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
title A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
spellingShingle A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
Nieto, A. R.
title_short A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
title_full A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
title_fullStr A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
title_full_unstemmed A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
title_sort A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
dc.creator.none.fl_str_mv Nieto, A. R.
Seoane, J. M.
Barrio, R.
Sanjuan, M. A. F.
author Nieto, A. R.
author_facet Nieto, A. R.
Seoane, J. M.
Barrio, R.
Sanjuan, M. A. F.
author_role author
author2 Seoane, J. M.
Barrio, R.
Sanjuan, M. A. F.
author2_role author
author
author
description In the context of nonhyperbolic chaotic scattering, it has been shown that the evolution of the KAM islands exhibits four abrupt metamorphoses that strongly affect the predictability of Hamiltonian systems. It has been suggested that these metamorphoses are related to significant changes in the structure of the KAM islands. However, previous research has not provided an explanation of the mechanisms underlying the metamorphoses. Here, we show that they occur due to the formation of a homoclinic or heteroclinic tangle that breaks the internal structure of the main KAM island. We obtain similar qualitative results in a two-dimensional Hamiltonian system and a two-dimensional area-preserving map. The equivalence of the results obtained in both systems suggests that the same four metamorphoses play an important role in conservative systems.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://zaguan.unizar.es/record/118661
url http://zaguan.unizar.es/record/118661
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/AEI/PID2019-105554GB-I00
info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00
info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R
info:eu-repo/grantAgreement/ES/DGA/LMP124-18
info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv
publisher.none.fl_str_mv
dc.source.none.fl_str_mv reponame:Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname:Universidad de Zaragoza
instname_str Universidad de Zaragoza
reponame_str Zaguán. Repositorio Digital de la Universidad de Zaragoza
collection Zaguán. Repositorio Digital de la Universidad de Zaragoza
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