Exploració per autor "Villanueva Castelltort, Jordi"
Ara es mostren els items 24-42 de 42
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KAM aspects of the quasi-periodic Hamiltonian Hopf bifurcation: summary of results
(s.n., 2007-08-20)
Text en actes de congrés
Accés obertIn this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedom real analytic Hamiltonian system. From the formal analysis of the normal form, it is proved the branching off a ... -
KAM aspects of the quasiperiodic Hamiltonian Hopf bifurcation
(2004)
Article
Accés obertIn this work we consider a normal form around a 1:-1 non semi-simple resonant periodic orbit of a three-degree of freedom Hamiltonian system. From the formal analysis it can be proved the branching off a two-parameter ... -
KAM Theory without action--angle variables
(2003)
Article
Accés obertGiven a torus approximately invariant under a symplectic map, we find sufficient conditions for the existence of a true invariant torus close to the given one. We do not assume either that we are working on action-angle ... -
Kolmogorov Theorem Revisited
(2004)
Report de recerca
Accés obertKolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems is revisited. In this paper we are mainly concerned with the lower bound on the constant of the Diophantine condition required ... -
A la recerca de l'estabilitat efectiva dels asteroids trojans : algunes idees constructives de tècniques KAM sense ssar coordenades acció-angle
(2000)
Text en actes de congrés
Accés obertXerrada pel Seminari de Sistemes Dinamics UB-UPC. Barcelona, dimecres 19 de gener de 2000. Els trojans son una familia d'asteroids amb orbites situades no molt lluny del punt $L_5$ del sistema Sol-Jupiter. Si integrem ... -
Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4
(2003)
Article
Accés obertThe paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place ... -
Normal forms around lower dimensional tori of hamiltonian systems
(Universitat Politècnica de Catalunya, 1997-03-10)
Tesi
Accés obertL'objectiu bàsic d'aquesta tesi és l'estudi de la dinàmica a l'entorn de tors de dimensió baixa de sistemes hamiltonians analítics. Per aquest estudi l'eina fonamental és l'ús de formes normals al voltant d'aquests ... -
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach
(2003)
Article
Accés obertWe perform a bifurcation analysis of normal–internal resonances in parametrised families of quasi–periodically forced Hamiltonian oscillators, for small forcing. The unforced system is a one degree of freedom oscillator, ... -
Numerical computation of normal forms around some periodic orbits of the restricted three body problem
(1997)
Article
Accés obertIn this paper we introduce a general methodology for computing (numerically) the normal form around a periodic orbit of an autonomous analytic Hamiltonian system. The process follows two steps. First, we expand the ... -
On the Hamiltonian Andronov-Hopf bifurcation
(2001)
Article
Accés obert -
On the normal behaviour of partially elliptic lower dimensional tori of hamiltonian systems
(1996)
Article
Accés obertThe purpose of this paper is to study the dynamics near a reducible lower dimensional invariant tori of a finite-dimensional autonomous Hamiltonian system with $\ell$ degrees of freedom. We will focus in the case in ... -
On the numerical computation of Diophantine rotation numbers of analytic circle maps
(2004)
Article
Accés obertIn this paper we present a numerical method to compute Diophantine rotation numbers of circle maps with high accuracy. We mainly focus on analytic circle diffeomorphisms, but the method also works in the case of (enough) ... -
On the persistence of lower dimensional invariant tori under quasiperiodic perturbations
(1996)
Article
Accés obertIn this work we consider time dependent quasiperiodic perturbations of autonomous Hamiltonian systems. We focus on the effect that this kind of perturbations has on lower dimensional invariant tori. Our results show that, ... -
On the quantitative estimates of the remainder in normal forms
(2002)
Article
Accés obertWe consider an analytic Hamiltonian system with three degrees of freedom and having a family of periodic orbits with a transition stability complex instability. We reduce the Hamiltonian to a normal form around a transition ... -
Quantitative estimates on the normal form around a non semi-simple 1:-1 resonant periodic orbit
(2003)
Article
Accés obertThe purpose of thiswork is to give precise estimates for the size of the remainder of the normalized Hamiltonian around a non-semi-simple 1 : −1 resonant periodic orbit, as a function of the distance to the orbit. We ... -
Quasi-periodic response solutions at normal-internal resonances
(2003)
Article
Accés obertIn the conservative dynamics of certain quasi-periodically forced oscillators, normal-internal resonances are considered in a bifurcational setting. The unforced system is a one degree of freedom oscillator, under forcing ... -
Stability and asymptotic behaviour of the vertical family of periodic orbits around L_5 of the restricted three-body problem
(1997)
Article
Accés obertIn this work we study some numerical results about a family of periodic orbits of the Restricted Three Body Problem (RTBP). The family considered is one of the Lyapunov families related to the equlibrium point $L_5$. More ... -
Teoria Kam Sin Coordenadas Accion-Angulo
(2001)
Article
Accés obertThe classical KAM methods, strongly supported on the use of canonical trans- formations in the action-angle context, are not effcient to be applied to a wide range of systems in which the Hamiltonian is known (for instance) ... -
The fine geometry of the Cantor families of invariant tori in hamiltonian systems
(2000)
Article
Accés obertThis work focuses on the dynamics around a partially elliptic, lower dimensional torus of a real analytic Hamiltonian system. More concretely, we investigate the abundance of invariant tori in the directions of the phase ...
