Now showing items 1-20 of 29

• #### CÀLCUL NUMÈRIC ﻿

(Universitat Politècnica de Catalunya, 2020-11-02)
Exam
• #### CÀLCUL NUMÈRIC ﻿

(Universitat Politècnica de Catalunya, 2021-01-15)
Exam
• #### Càlcul numèric : manual de pràctiques ﻿

(Universitat Politècnica de Catalunya, 2014)
Practice
Open Access
• #### Càlcul numèric. Manual de pràctiques ﻿

(2014-07)
External research report
Open Access
• #### Confinement around the Vertical Family of Periodic Orbits close L<sub>4</sub> and L<sub>5</sub> ﻿

(2001)
Article
Open Access
We consider the spatial restricted three body problem (RTBP) for values of the mass parameter close to µRouth. We analyse the dynamics around the vertical periodic orbits which are born at the equilateral equilibrium ...
• #### Controllability of continuous bimodal linear systems ﻿

(2013-05-01)
Article
Open Access
We consider bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. We prove that the study of controllability can be reduced ...
• #### Description of characteristic non-hyperinvariant subspaces in GF(2) ﻿

(Elsevier, 2013-12-16)
Article
Restricted access - publisher's policy
Given a square matrix A , an A -invariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T ) that commute ...
• #### Description of characteristic non-hyperinvariant subspaces over the field GF(2) ﻿

(Elsevier, 2013-10-26)
Article
Restricted access - publisher's policy
Given a square matrix A, an A-invariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T) that commute with A. ...
• #### Dynamics and bifurcation near the transition from stability to complex instability ﻿

(2001)
Article
Open Access
• #### Dynamics and bifurcation near the transition from stability to complex instability: an analytical approach using normal forms ﻿

(1998)
Article
Open Access
We 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 ...
• #### Dynamics close to a non semi-simple 1: -1 resonant periodic orbit. ﻿

(2003)
Article
Open Access
In this work, our target is to analyze the dynamics around the $1:-1$ resonance which appears when a family of periodic orbits of a real analytic three-degree of freedom Hamiltonian system changes its stability from ...
• #### Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field ﻿

(2018-09-01)
Article
Open Access
We consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a Hamiltonian depending on one parameter, K¿>¿0. The corresponding Hamiltonian system of ODE has two equilibrium ...
• #### How does the hopf bifurcation appear in the hydrogen atom in a Circularly Polarized (CP) microwave field? ﻿

(Birkhäuser, 2019)
Part of book or chapter of book
Restricted access - publisher's policy
The dynamics of the Rydberg atom in a rotating electric field can be described by a two degree of freedom Hamiltoniandepending on a parameterK. This Hamiltonian has two equilibrium pointsL1andL2. WhileL1is a saddle-center ...
• #### KAM aspects of the quasi-periodic Hamiltonian Hopf bifurcation: summary of results ﻿

(s.n., 2007-08-20)
Conference report
Open Access
In 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
Open Access
In 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 ...
• #### Miniversal Deformations of Bimodal Picewise Linear Systems ﻿

(Servicio de publicaciones de la UPV, 2010)
Conference lecture
Open Access
Bimodal linear systems are those consisting of two linear systems on each side of a given hyperplane, having continuous dynamics along that hyperplane. In this work, we focus on the derivation of (orthogonal) miniversal ...
• #### Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4 ﻿

(2003)
Article
Open Access
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 ...
• #### Motion near the transition to complex instability: some examples ﻿

(1997)
Article
Open Access
Complex instability is a generic kind of instability in Hamiltonian systems with three degrees of freedom. In this work, some examples of such instability are shown, together with a numerical analysis of the dynamics ...
• #### On the Hamiltonian Andronov-Hopf bifurcation ﻿

(2001)
Article
Open Access
• #### On the quantitative estimates of the remainder in normal forms ﻿

(2002)
Article
Open Access
We 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 ...