Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
dc.contributor.author
dc.date.accessioned
2016-09-13T13:20:46Z
dc.date.available
2016-09-13T13:20:46Z
dc.date.issued
2013-10-01
dc.identifier.issn
0951-7715
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dc.description.abstract
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
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
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Versió preprint del document publicat a: http://dx.doi.org/10.1088/0951-7715/26/10/2747
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© Nonlinearity, 2013, vol. 26, núm. 10, p. 2747-2765
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Articles publicats (D-IMA)
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Tots els drets reservats
dc.subject
dc.title
Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/submittedVersion
dc.identifier.doi
dc.identifier.idgrec
020587
dc.identifier.eissn
1361-6544