Now showing items 1-20 of 38

  • Bifurcation at complex instability 

    Ollé Torner, Mercè; Pfenniger, Daniel (1995)
    Article
    Open Access
    In an autonomous Hamiltonian system with three or more degrees of freedom, a family of periodic orbits may become unstable when two pairs of characteristic multipliers coallesce on the unit circle at points not equal to ...
  • Càlcul integral per a enginyers 

    Compta Creus, Albert; Bonet Revés, Carles; Consul Porras, M. Nieves; Ollé Torner, Mercè; Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2002)
    Book
    Restricted access to the UPC academic community
    El càlcul integral és una matèria bàsica dins els plans d'estudis de les enginyeries i les llicenciatures científiques. Aquest llibre és una introducció a la teoria de la integració de diverses variables i la integració ...
  • Càlcul numèric. Manual de pràctiques 

    Lázaro Ochoa, José Tomás; Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (2014-07)
    External research report
    Open Access
  • Central configurations of the planar coorbial satellite problem 

    Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè (2004-10)
    Article
    Open Access
    We study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, ...
  • Central configurations of the planar coorbital satellite problem 

    Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè (2003)
    Article
    Open Access
    We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2 ≤ n ≤ 4. Numerically, ...
  • 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 ...
  • Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP 

    Ollé Torner, Mercè; Barrabés Vera, Esther (2009-11)
    Article
    Restricted access - publisher's policy
    We consider the planar restricted three-body problem and the collinear equilibrium point L3, as an example of a center×saddle equilibrium point in a Hamiltonian with two degrees of freedom.We explore numerically the ...
  • 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 ...
  • Dynamics of the parabolic restricted three-body problem 

    Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Ollé Torner, Mercè (2015-12-01)
    Article
    Open Access
    The main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic ...
  • Ejection-collision orbits in the Restricted three-body problem 

    Ollé Torner, Mercè; Rodríguez del Río, Óscar; Soler Villanueva, Jaume (2018-02)
    Article
    Restricted access - publisher's policy
    In this paper we analyse the ejection-collision (EC) orbits of the planar restricted three body problem. Being µ¿¿¿(0, 0.5] the mass parameter, and taking the big (small) primary with mass (µ), an EC orbit will be an orbit ...
  • Ejection-collision orbits in the symmetric collinear four–body problem 

    Alvarez Ramírez, Martha; Barrabés Vera, Esther; Medina, M.; Ollé Torner, Mercè (2019-06-15)
    Article
    Restricted access - publisher's policy
    In this paper, we consider the collinear symmetric four-body problem, where four masses and a¿>¿0, are aligned in this order and move symmetrically about their center of mass. We introduce regularized variables to deal ...
  • Fast numerical computation of Lissajous and quasi-halo libration point trajectories 

    Mondelo, Josep Maria; Barrabes, E.; Gómez Muntané, Gerard; Ollé Torner, Mercè (2012)
    Conference report
    Open Access
    In this paper we present a methodology for the automatic generation of quasi–periodic libration point trajectories (Lissajous and quasi–halo) of the Spatial, Circular Restricted Three–Body Problem. This methodology is ...
  • HAmsys 2014 

    Ollé Torner, Mercè; Barrabés Vera, Esther; Gomez Muntane, Gerard; Mondelo, Josep Maria (2014)
    Conference report
    Restricted access - publisher's policy
    In this talk we give an explanation of transport in the solar system based in dynamical systems theory. More concretely we consider (as a first approximation) different bicircular problems (i.e. Sun, Jupiter, a planet ...
  • 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 ...
  • Horseshoe motion in the Restricted three-body problem 

    Ollé Torner, Mercè; Barrabés Vera, Esther (2005-09)
    Article
    Open Access
  • Horseshoe periodic orbits for saturn coorbital satellites 

    Llibre Saló, Jaume; Ollé Torner, Mercè (2000)
    Article
    Open Access
    We consider the motion of coorbital satellites in the framework of the Restricted Three-Body problem for u=6.5*10^(-9). We show a mechanism to generate horsehoe periodic orbits and we compute some families of horseshoe ...
  • Horseshoe periodic orbits in the restricted three body problem 

    Llibre Saló, Jaume; Ollé Torner, Mercè (2001)
    Article
    Open Access
  • Invariant curves near Hamiltonian-Hopf bifurcations of 4D symplectic maps 

    Jorba, Angel; Ollé Torner, Mercè (2003)
    Article
    Open Access
    In 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. ...