Dynamics in the charged restricted circular three-body problem
| dc.contributor.author | Palacián Subiela, Jesús Francisco | |
| dc.contributor.author | Vidal Díaz, Claudio | |
| dc.contributor.author | Vidarte, Jhon | |
| dc.contributor.author | Yanguas Sayas, Patricia | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.date.accessioned | 2019-01-15T18:03:06Z | |
| dc.date.issued | 2018 | |
| dc.description | This is a post-peer-review, pre-copyedit version of an article published in Journal of Dynamics and Differential Equations. The final authenticated version is available online at: https://doi.org/10.1007/s10884-017-9627-x. | en |
| dc.description.abstract | The existence and stability of periodic solutions for different types of perturbations associated to the Charged Restricted Circular Three Body Problem (shortly, CHRCTBP) is tackled using reduction and averaging theories as well as the technique of continuation of Poincaré for the study of symmetric periodic solutions. The determination of KAM 2-tori encasing some of the linearly stable periodic solutions is proved. Finally, we analyze the occurrence of Hamiltonian-Hopf bifurcations associated to some equilibrium points of the CHRCTBP. | en |
| dc.description.sponsorship | The authors are partially supported by Project MTM 2014-59433-C2-1-P of the Ministry of Economy and Competitiveness of Spain | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1007/s10884-017-9627-x | |
| dc.identifier.issn | 1040-7294 (Print) | |
| dc.identifier.issn | 1572-9222 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/31968 | |
| dc.language.iso | eng | en |
| dc.publisher | Springer US | en |
| dc.relation.ispartof | Journal of Dynamics and Differential Equations, (2018) 30:1757–1774 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-59433-C2-1-P/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1007/s10884-017-9627-x | |
| dc.rights | © Springer Science+Business Media, LLC, part of Springer Nature 2017 | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Charged restricted circular three body problem | en |
| dc.subject | Averaging normalisation and reduction | en |
| dc.subject | Reduced space and invariants | en |
| dc.subject | Reeb’s theorem | en |
| dc.subject | Periodic solutions and linear stability | en |
| dc.subject | KAM tori | en |
| dc.subject | Bifurcations | en |
| dc.title | Dynamics in the charged restricted circular three-body problem | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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