Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system

This paper is devoted to the numerical computation and continuation of families of heteroclinic connections between hyperbolic periodic orbits (POs) of a Hamiltonian system. We describe a method that requires the numerical continuation of a nonlinear system that involves the initial conditions of th...

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Autores: Barrabés Vera, Esther, Mondelo, Josep M., Ollé Torner, Mercè
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2013
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/12690
Acceso en línea:http://hdl.handle.net/10256/12690
Access Level:acceso abierto
Palabra clave:Anàlisi numèrica
Numerical analysis
Planetes -- Òrbites
Planets -- Orbits
Dinàmica estel·lar
Stellar dynamics
Mecànica celest
Celestial mechanics
Sistemes hamiltonians
Hamiltonian systems
Sistemes dinàmics diferenciables
Differentiable dynamical systems
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spelling Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian systemBarrabés Vera, EstherMondelo, Josep M.Ollé Torner, MercèAnàlisi numèricaNumerical analysisPlanetes -- ÒrbitesPlanets -- OrbitsDinàmica estel·larStellar dynamicsMecànica celestCelestial mechanicsSistemes hamiltoniansHamiltonian systemsSistemes dinàmics diferenciablesDifferentiable dynamical systemsThis paper is devoted to the numerical computation and continuation of families of heteroclinic connections between hyperbolic periodic orbits (POs) of a Hamiltonian system. We describe a method that requires the numerical continuation of a nonlinear system that involves the initial conditions of the two POs, the linear approximations of the corresponding manifolds and a point in a given Poincaré section where the unstable and stable manifolds match. The method is applied to compute families of heteroclinic orbits between planar Lyapunov POs around the collinear equilibrium points of the restricted three-body problem in different scenarios. In one of them, for the Sun-Jupiter mass parameter, we provide energy ranges for which the transition between different resonances is possibleIOP Publishing2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionpeer-reviewedapplication/pdfhttp://hdl.handle.net/10256/12690© Nonlinearity, 2013, vol. 26, núm. 10, p. 2747-2765Articles publicats (D-IMA)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1088/0951-7715/26/10/2747info:eu-repo/semantics/altIdentifier/issn/0951-7715info:eu-repo/semantics/altIdentifier/eissn/1361-6544Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/126902026-05-29T05:05:01Z
dc.title.none.fl_str_mv Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
title Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
spellingShingle Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
Barrabés Vera, Esther
Anàlisi numèrica
Numerical analysis
Planetes -- Òrbites
Planets -- Orbits
Dinàmica estel·lar
Stellar dynamics
Mecànica celest
Celestial mechanics
Sistemes hamiltonians
Hamiltonian systems
Sistemes dinàmics diferenciables
Differentiable dynamical systems
title_short Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
title_full Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
title_fullStr Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
title_full_unstemmed Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
title_sort Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
dc.creator.none.fl_str_mv Barrabés Vera, Esther
Mondelo, Josep M.
Ollé Torner, Mercè
author Barrabés Vera, Esther
author_facet Barrabés Vera, Esther
Mondelo, Josep M.
Ollé Torner, Mercè
author_role author
author2 Mondelo, Josep M.
Ollé Torner, Mercè
author2_role author
author
dc.subject.none.fl_str_mv Anàlisi numèrica
Numerical analysis
Planetes -- Òrbites
Planets -- Orbits
Dinàmica estel·lar
Stellar dynamics
Mecànica celest
Celestial mechanics
Sistemes hamiltonians
Hamiltonian systems
Sistemes dinàmics diferenciables
Differentiable dynamical systems
topic Anàlisi numèrica
Numerical analysis
Planetes -- Òrbites
Planets -- Orbits
Dinàmica estel·lar
Stellar dynamics
Mecànica celest
Celestial mechanics
Sistemes hamiltonians
Hamiltonian systems
Sistemes dinàmics diferenciables
Differentiable dynamical systems
description This paper is devoted to the numerical computation and continuation of families of heteroclinic connections between hyperbolic periodic orbits (POs) of a Hamiltonian system. We describe a method that requires the numerical continuation of a nonlinear system that involves the initial conditions of the two POs, the linear approximations of the corresponding manifolds and a point in a given Poincaré section where the unstable and stable manifolds match. The method is applied to compute families of heteroclinic orbits between planar Lyapunov POs around the collinear equilibrium points of the restricted three-body problem in different scenarios. In one of them, for the Sun-Jupiter mass parameter, we provide energy ranges for which the transition between different resonances is possible
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
peer-reviewed
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/12690
url http://hdl.handle.net/10256/12690
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0951-7715/26/10/2747
info:eu-repo/semantics/altIdentifier/issn/0951-7715
info:eu-repo/semantics/altIdentifier/eissn/1361-6544
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv © Nonlinearity, 2013, vol. 26, núm. 10, p. 2747-2765
Articles publicats (D-IMA)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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