Mostrando ítems 1-20 de 32

• #### A dynamical systems approach to Bohmian trajectories in a 2D harmonic oscillator ﻿

(2009-11-25)
Artículo
Acceso restringido por política de la editorial
Vortices are known to play a key role in the dynamics of the quantum trajectories defined within the framework of the de Broglie–Bohm formalism of quantum mechanics. It has been rigourously proved that the motion of a ...
• #### A KAM theorem without action-angle variables for elliptic lower dimensional tori ﻿

(2011-02)
Artículo
Acceso restringido por política de la editorial
We study elliptic lower dimensional invariant tori of Hamiltonian systems via parametrizations. The method is based on solving iteratively the functional equations that stand for invariance and reducibility. In contrast ...
• #### A KAM theorem without action-angle variables for elliptic lower dimensional tori ﻿

(2010-02-15)
Report de recerca
Acceso abierto
We study elliptic lower dimensional invariant tori of Hamiltonian systems via parameterizations. The method is based in solving iteratively the functional equations that stand for invariance and reducibility. In contrast ...
• #### A new approach to the parameterization method for Lagrangian tori of hamiltonian systems ﻿

(2016-10-18)
Artículo
Acceso abierto
We compute invariant Lagrangian tori of analytic Hamiltonian systems by the parameterization method. Under Kolmogorov’s non-degeneracy condition, we look for an invariant torus of the system carrying quasi-periodic motion ...
• #### A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map ﻿

(2016-06-15)
Artículo
Acceso restringido por política de la editorial
We present a numerical method for computing initial conditions of Lagrangian quasi-periodic invariant tori of Hamiltonian systems and symplectic maps. Such initial conditions are found by solving, using the Newton method, ...
• #### Asymptotic behaviour of the domain of analyticity of invariant curves of the standard map ﻿

(1999)
Artículo
Acceso abierto
In this paper we consider the standard map, and we study the invariant curve obtained by analytical continuation, with respect to the perturbative parameter E, of the invariant circle of rotation number the golden mean ...
• #### Asymptotic size of Herman rings of the complex standard family by quantitative quasiconformal surgery ﻿

(2003)
Artículo
Acceso abierto
• #### Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4 ﻿

(2003)
Artículo
Acceso abierto
The 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)
Tesis
Acceso abierto
L'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 ...