Reeb’s theorem and periodic orbits for a rotating Hénon–Heiles potential

Lanchares, Víctor; Pascual, Ana Isabel; Iñarrea, Manuel; Salas, José Pablo; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia

Publication:
Reeb’s theorem and periodic orbits for a rotating Hénon–Heiles potential

dc.contributor.author	Lanchares, Víctor
dc.contributor.author	Pascual, Ana Isabel
dc.contributor.author	Iñarrea, Manuel
dc.contributor.author	Salas, José Pablo
dc.contributor.author	Palacián Subiela, Jesús Francisco
dc.contributor.author	Yanguas Sayas, Patricia
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.contributor.department	Institute for Advanced Materials and Mathematics - INAMAT2	en
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.date.accessioned	2020-06-08T09:54:48Z
dc.date.available	2020-12-04T00:00:16Z
dc.date.issued	2019
dc.description.abstract	We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon– Heiles system. To this end, a sort of detuned normal form is calculated that yields a reduced system with at most four non degenerate equilibrium points. Linear stability and bifurcations of equilibrium solutions mimic those for periodic solutions of the original system. We also determine heteroclinic connections that can account for transport phenomena.	en
dc.description.sponsorship	This work has been partly supported from the Spanish Ministry of Science and Innovation through the Projects MTM2014-59433-CO (Subprojects MTM2014-59433-C2-1-P and MTM2014-59433- C2-2-P), MTM2017-88137-CO (Subprojects MTM2017-88137-C2-1-P and MTM2017-88137-C2-2-P), and by University of La Rioja through Project REGI 2018751.	en
dc.embargo.lift	2020-12-04
dc.embargo.terms	2020-12-04
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1007/s10884-019-09814-6
dc.identifier.issn	1572-9222
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/37101
dc.language.iso	eng	en
dc.publisher	Springer	en
dc.relation.ispartof	Journal of Dynamics and Differential Equations (2019)	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2014-59433-C2-1-P/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88137-C2-1-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1007/s10884-019-09814-6
dc.rights	© Springer Science+Business Media, LLC, part of Springer Nature 2019	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.subject	Averaging	en
dc.subject	Normalization	en
dc.subject	Reduced space	en
dc.subject	Hamiltonian oscillators	en
dc.subject	Periodic solutions	en
dc.title	Reeb’s theorem and periodic orbits for a rotating Hénon–Heiles potential	en
dc.type	info:eu-repo/semantics/article
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dspace.entity.type	Publication
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