Mostra el registre d'ítem simple

dc.contributor.authorJorba, Angel
dc.contributor.authorOllé Torner, Mercè
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-10-03T17:57:15Z
dc.date.available2007-10-03T17:57:15Z
dc.date.issued2003
dc.identifier.urihttp://hdl.handle.net/2117/1222
dc.description.abstractIn this paper we give a numerical description of the neighbourhood of a fixed point of a symplectic map undergoing a transition from linear stability to complex instability, i.e., the so called Hamiltonian-Hopf bifurcation. We have considered both the direct and inverse cases. The study is based on the numerical computation of the Lyapunov families of invariant curves near the fixed point. We show how these families, jointly with their invariant manifolds and the invariant manifolds of the fixed point organise the phase space around the bifurcation.
dc.format.extent27 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.othercomplex instability
dc.subject.otherinvariant curves
dc.subject.otherinvariant manifolds
dc.titleInvariant curves near Hamiltonian-Hopf bifurcations of 4D symplectic maps
dc.typeArticle
dc.subject.lemacHamilton, Sistemes de
dc.subject.lemacSistemes dinàmics diferenciables
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::37M Approximation methods and numerical treatment of dynamical systems
dc.rights.accessOpen Access
local.personalitzacitaciotrue


Fitxers d'aquest items

Thumbnail

Aquest ítem apareix a les col·leccions següents

Mostra el registre d'ítem simple