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Periodic orbits in a Hamiltonian system of stellar type

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cris.virtual.author-orcid0000-0002-8218-9542
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.departmentFacultad de Ingeniería
cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcid841e412c-0f11-44bb-8b35-1e7fb9c7d210
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.department841e412c-0f11-44bb-8b35-1e7fb9c7d210
cris.virtualsource.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.department#PLACEHOLDER_PARENT_METADATA_VALUE#
dc.contributor.authorDr. Vidarte-Olivera, Jhon
dc.contributor.authorVera-Damián, Yrina
dc.contributor.authorGonzales, Walter
dc.date.accessioned2024-11-28T20:24:51Z
dc.date.available2024-11-28T20:24:51Z
dc.date.issued2024
dc.description.abstractWe investigate the existence of periodic orbits in a perturbed Hamiltonian system of stellar type in 1:1 resonance. The perturbation consists of a potential of degree four with two real parameters. We determine six families of periodic orbits using reduction and averaging theories. Also, we characterize the stability of these orbits and their bifurcation curves in terms of the parameters. Finally, we show a complete picture of the choreographies of critical points originating the periodic orbits.
dc.identifier.doi10.1016/j.physd.2024.134261
dc.identifier.urihttps://repositorio.ucsc.cl/handle/25022009/11945
dc.languageeng
dc.publisherElsevier
dc.rightsregistro bibliográfico
dc.subjectResonant Hamiltonians and 1:1 resonance
dc.subjectQuartic potentials
dc.subjectNormalization and reduction
dc.subjectAveraging
dc.subjectReduced space and invariants
dc.subjectReeb’s theorem
dc.subjectPeriodic orbits and linear stability
dc.subjectBifurcations
dc.titlePeriodic orbits in a Hamiltonian system of stellar type
dc.typeartículo
dspace.entity.typePublication
local.areamatemáticas y física aplicada
oairecerif.author.affiliationFacultad de Ingeniería
oairecerif.author.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#
oairecerif.author.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#
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