Numerical exploration of bifurcation phenomena associated with complex instability

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/960

Title:	Numerical exploration of bifurcation phenomena associated with complex instability
Author:	Ollé Torner, Mercè
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	The 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.
Subject(s):	-Differentiable dynamical systems -Dynamical systems -Mechanics -Hamiltonian dynamical systems -Lagrangian functions -Bifurcation Phenomena -Complex Instability -Sistemes dinàmics diferenciables -Equacions en derivades parcials -Miscel·lànies -Partícules (Física nuclear) -Hamilton, Sistemes de -Lagrange, Funcions de -Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems -Classificació AMS::65 Numerical analysis::65P Numerical problems in dynamical systems -Classificació AMS::70 Mechanics of particles and systems -Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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