Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem

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RECERCAT Home > Centres de Recerca de Catalunya (CERCA) > Centre de Recerca Matemàtica > Prepublicacions del Centre de Recerca Matemàtica > View document

Use this identifier to quote or link this document: http://hdl.handle.net/2072/1733

dc.contributor	Centre de Recerca Matemàtica
dc.contributor.author	Llibre i Saló, Jaume
dc.contributor.author	Paşca, Daniel
dc.date.accessioned	2006-03-16T12:37:31Z
dc.date.available	2006-03-16T12:37:31Z
dc.date.issued	2006-02
dc.identifier.uri	http://hdl.handle.net/2072/1733
dc.format.extent	188676 bytes
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation.ispartofseries	Prepublicacions del Centre de Recerca Matemàtica;664
dc.rights	Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
dc.subject	Dinàmica combinatòria
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Hamilton, Sistemes de
dc.title	Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem
dc.type	info:eu-repo/semantics/preprint
dc.description.abstract	The paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear 3–body problem.

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