Publication:
Periodic orbits of a generalized Hénon–Heiles system

cris.virtual.author-orcid0000-0002-4475-5064
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.departmentFacultad de Ingeniería
cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcidd5a7435f-f7b4-46c7-9712-7463b17dd851
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.departmentd5a7435f-f7b4-46c7-9712-7463b17dd851
cris.virtualsource.department#PLACEHOLDER_PARENT_METADATA_VALUE#
dc.contributor.authorDra. García-Saldaña, Johanna
dc.contributor.authorÁlvarez-Ramírez, M.
dc.date.accessioned2024-11-08T15:34:22Z
dc.date.available2024-11-08T15:34:22Z
dc.date.issued2020
dc.description.abstractIn this paper, we apply the Lyapunov center theorem, Weinstein–Moser theorem and the averaging theory of second order to prove the existence of periodic orbits of a one-parameter generalized Hénon–Heiles Hamiltonian system which includes the classical one. We show that this system has at least two-families of stable periodic orbits for energy level h  >  0.
dc.identifier.doi10.1088/1751-8121/ab661f
dc.identifier.urihttps://repositorio.ucsc.cl/handle/25022009/11720
dc.languageeng
dc.publisherIOP Publishing
dc.rightsregistro bibliográfico
dc.titlePeriodic orbits of a generalized Hénon–Heiles system
dc.typeartículo
dspace.entity.typePublication
oairecerif.author.affiliationFacultad de Ingeniería
oairecerif.author.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#
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