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dc.contributor.authorOllé Torner, Mercè
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractThe Hopf-like bifurcation associated with the transition from stability to complex instability of a family of periodic orbits in a Hamiltonian system with three (or more) degrees of freedom is investigated. Numerical techniques to compute the bifurcating objects -periodic orbits or, more generally, 2D isolated invariant tori - are persented. The evolution and further bifurcations of the 2D tori are described. As a model problem, we consider two 4D symplectic mappings, and, as an application, we give some results for a galactic potential.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshDifferentiable dynamical systems
dc.subject.lcshDynamical systems
dc.subject.lcshHamiltonian dynamical systems
dc.subject.lcshLagrangian functions
dc.subject.otherBifurcation Phenomena
dc.subject.otherComplex Instability
dc.titleNumerical exploration of bifurcation phenomena associated with complex instability
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacEquacions en derivades parcials
dc.subject.lemacPartícules (Física nuclear)
dc.subject.lemacHamilton, Sistemes de
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::37M Approximation methods and numerical treatment of dynamical systems
dc.subject.amsClassificació AMS::65 Numerical analysis::65P Numerical problems in dynamical systems
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.rights.accessOpen Access

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