Dynamics in the charged restricted circular three-body problem

Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia

doi:10.1007/s10884-017-9627-x

dc.creator	Palacián Subiela, Jesús Francisco	es_ES
dc.creator	Vidal Díaz, Claudio	es_ES
dc.creator	Vidarte, Jhon	es_ES
dc.creator	Yanguas Sayas, Patricia	es_ES
dc.date.accessioned	2019-01-15T18:03:06Z
dc.date.issued	2018
dc.identifier.issn	1040-7294 (Print)
dc.identifier.issn	1572-9222 (Electronic)
dc.identifier.uri	https://hdl.handle.net/2454/31968
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.language.iso	eng	en
dc.publisher	Springer US	en
dc.relation.ispartof	Journal of Dynamics and Differential Equations, (2018) 30:1757–1774	en
dc.rights	© Springer Science+Business Media, LLC, part of Springer Nature 2017	en
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	Artículo / Artikulua	es
dc.type	info:eu-repo/semantics/article	en
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.identifier.doi	10.1007/s10884-017-9627-x
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2014-59433-C2-1-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1007/s10884-017-9627-x
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en

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