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dc.contributor.authorOllé Torner, Mercè
dc.contributor.authorPacha Andújar, Juan Ramón
dc.contributor.authorVillanueva Castelltort, Jordi
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-10-01T16:26:48Z
dc.date.available2007-10-01T16:26:48Z
dc.date.issued2003
dc.identifier.urihttp://hdl.handle.net/2117/1203
dc.description.abstractThe paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place close to the Lyapunov vertical family of periodic orbits of the triangular equilibrium point L4 in the 3D restricted three-body problem (RTBP) for the mass parameter, µ, greater than (and close to) µR (Routh’s mass parameter). Consequences of such bifurcation, concerning the confinement of the motion close to the hyperbolic orbits and the 3D nearby tori are also described.
dc.format.extent21 pages
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject.lcshHamiltonian systems
dc.subject.lcshDifferentiable dynamical systems
dc.subject.lcshDynamics
dc.subject.lcshHamiltonian dynamical systems
dc.subject.lcshLagrangian functions
dc.subject.otherrestricted problem
dc.subject.otherperiodic orbits
dc.subject.otherHopf bifurcation
dc.subject.otherinvariant tori
dc.subject.otherinvariant manifolds
dc.titleMotion close to the hopf bifurcation of the vertical family of periodic orbits of L^4
dc.typeArticle
dc.subject.lemacHamilton, Sistemes de
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacTeoria ergòdica
dc.subject.lemacPartícules (Física nuclear)
dc.subject.lemacLagrange, Funcions de
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.rights.accessOpen Access
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Llevat que s'hi indiqui el contrari, els continguts d'aquesta obra estan subjectes a la llicència de Creative Commons: Reconeixement-NoComercial-SenseObraDerivada 2.5 Espanya