Now showing items 1-20 of 24

  • Càlcul numèric. Manual de pràctiques 

    Lázaro Ochoa, José Tomás; Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (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> 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (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 

    Ferrer Llop, Josep; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (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) 

    Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (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) 

    Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (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 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2001)
    Article
    Open Access
  • Dynamics and bifurcation near the transition from stability to complex instability: an analytical approach using normal forms 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (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. 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (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 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (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 ...
  • KAM aspects of the quasiperiodic Hamiltonian Hopf bifurcation 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (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 ...
  • KAM aspects of the quasi-periodic Hamiltonian Hopf bifurcation: summary of results 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (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 ...
  • Miniversal Deformations of Bimodal Picewise Linear Systems 

    Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (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 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (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 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (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 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2001)
    Article
    Open Access
  • On the quantitative estimates of the remainder in normal forms 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (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 ...
  • On the quasi-periodic hamiltonian Andronov-Hopf bifurcation 

    Pacha Andújar, Juan Ramón (2002)
    Article
    Open Access
  • On the quasiperiodic hamiltonian andronov-hopf bifurcation 

    Pacha Andújar, Juan Ramón (Universitat Politècnica de Catalunya, 2002-10-21)
    Doctoral thesis
    Open Access
    Aquest treball es situa dintre del marc dels sistemes dinàmics hamiltonians de tres graus de llibertat. Allà considerem famílies d'òrbites periòdiques amb una transició estable-complex inestable: sigui L el paràmetre que ...
  • Planar bimodal piecewise linear systems. Bifurcation diagrams 

    Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (2010)
    Article
    Open Access
  • Quantitative estimates on the normal form around a non semi-simple 1:-1 resonant periodic orbit 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón; Villanueva Castelltort, Jordi (2003)
    Article
    Open Access
    The 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 ...