Bifurcation at complex instability

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/819

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Ollé Torner, Mercè
dc.contributor.author	Pfenniger, Daniel
dc.date	1995
dc.identifier.uri	http://hdl.handle.net/2117/819
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Differential equations
dc.subject	Global analysis (Mathematics)
dc.subject	Hamiltonian dynamical systems
dc.subject	Lagrangian functions
dc.subject	complex inestability
dc.subject	Equacions diferencials ordinàries
dc.subject	Varietats (Matemàtica)
dc.subject	Hamilton, Sistemes de
dc.subject	Lagrange, Funcions de
dc.subject	Classificació AMS::58 Global analysis, analysis on manifolds
dc.subject	Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.title	Bifurcation at complex instability
dc.type	info:eu-repo/semantics/article
dc.description.abstract	In an autonomous Hamiltonian system with three or more degrees of freedom, a family of periodic orbits may become unstable when two pairs of characteristic multipliers coallesce on the unit circle at points not equal to ±1, and then move off the unit circle. This paper develops normal forms suitable for the neighbourhood of such an, instability, and, at this approximation, demonstrates the bifurcation from the periodic orbit of a family of invariant two-dimensional tori. The theory is illustrated with numerical computations of orbits of the planar general three-body problem.

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