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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.accessioned2007-10-03T16:10:28Z
dc.date.available2007-10-03T16:10:28Z
dc.date.issued1998
dc.identifier.urihttp://hdl.handle.net/2117/1215
dc.description.abstractWe consider a Hamiltonian of three degrees of freedom and a family of periodic orbits with a transition from stability to complex instability, such that there is an irrational collision of the Floquet eigenvalues of opposite sign. We analize the local dynamics and the bifurcation phenomena linked to this transition. We study the resulting Hamiltonian Hopf-like bifurcation from an analy- tical point of view by means of normal forms. The existence of a bifurcating family of 2D tori is derived in both cases (direct and inverse bifur- cation) are described.
dc.format.extent14 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 dynamical systems
dc.subject.lcshLagrangian functions
dc.subject.lcshHamiltonian systems
dc.subject.othernormal forms
dc.subject.othercomplex instability
dc.subject.otherbifurcation
dc.titleDynamics and bifurcation near the transition from stability to complex instability: an analytical approach using normal forms
dc.typeArticle
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::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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