Show simple item record

dc.creatorMeyer, Kenneth Rayes_ES
dc.creatorPalacián Subiela, Jesús Franciscoes_ES
dc.creatorYanguas Sayas, Patriciaes_ES
dc.identifier.issn0951-7715 (Print)
dc.identifier.issn1361-6544 (Electronic)
dc.descriptionThis is an author-created, un-copyedited version of an article accepted for publication/published in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
dc.description.abstractWe investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the Hamiltonian vector field is reconstructed from the cross sections corresponding to an approximation of this vector field in an energy surface. This approximate system is also built using normal forms and applying reduction theory obtaining the reduced Hamiltonian that is defined on the orbit space. Generically, the reduction is of singular character and we classify the singularities in the orbit space, getting three different types of singular points. A critical point of the reduced Hamiltonian corresponds to a family of periodic solutions in the full system whose characteristic multipliers are approximated accordingly to the nature of the critical point.en
dc.description.sponsorshipThe authors are partially supported by Projects MTM 2011-28227-C02-01 of the Ministry of Science and Innovation of Spain, MTM 2014-59433-C2-1-P of the Ministry of Economy and Competitiveness of Spain and by the Charles Phelps Taft Foundation.en
dc.publisherIOP Publishingen
dc.publisherLondon Mathematical Societyen
dc.relation.ispartofNonlinearity, vol. 31, n. 6en
dc.rights© 2018 IOP Publishing Ltd & London Mathematical Societyen
dc.subjectNormal form and resonant Hamiltonianen
dc.subjectSingular reductionen
dc.subjectCross sectionen
dc.subjectOrbit space and orbifolden
dc.subjectPeak and ridgeen
dc.subjectSymplectic coordinates and symplectic smoothingen
dc.titleSingular reduction of resonant Hamiltoniansen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentMatematika eta Informatika Ingeniaritzaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2en
dc.contributor.departmentIngeniería Matemática e Informáticaes_ES
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.type.versionVersión aceptada / Onetsi den bertsioaes

Files in this item


This item appears in the following Collection(s)

Show simple item record

El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
Logo MinisterioLogo Fecyt