Ara es mostren els items 1-20 de 23

    • A new approach to the parameterization method for Lagrangian tori of hamiltonian systems 

      Villanueva Castelltort, Jordi (2016-10-18)
      Article
      Accés obert
      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 summary on symmetries and conserved quantities of autonomous Hamiltonian systems 

      Román Roy, Narciso (AMER INST MATHEMATICAL SCIENCES-AIMS, 2020)
      Article
      Accés obert
      A complete geometric classification of symmetries of autonomous Hamiltonian systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known ...
    • Adiabatic invariant of the harmonic oscillator, complex matching and resurgence 

      Bonet Revés, Carles; Sauzin, D.; Martínez-Seara Alonso, M. Teresa; València Guitart, Marta (1997)
      Article
      Accés obert
      The linear oscillator equation with a frequency depending slowly on time is used to test a method to compute exponentially small quantities. This work present the matching method in the complex plane as a tool to obtain ...
    • Effective stability for periodically perturbed hamiltonian systems 

      Jorba, Angel; Simó Torres, Carlos (1994)
      Article
      Accés obert
      In this work we present a method to bound the diffusion near an elliptic equilibrium point of a periodically time-dependent Hamiltonian system. The method is based on the computation of the normal form (up to a certain ...
    • Exponentially small splitting of separatrices under fast quasiperiodic forcing 

      Delshams Valdés, Amadeu; Gelfreich, Vassili; Jorba, Angel; Martínez-Seara Alonso, M. Teresa (1997)
      Article
      Accés obert
      We consider fast quasiperiodic perturbations with two frequencies $(1/\varepsilon,\gamma/\varepsilon)$ of a pendulum, where $\gamma$ is the golden mean number. The complete system has a two-dimensional invariant ...
    • Fault detection in hysteretic base-isolation systems via a seismic disturbance observer 

      Rodriguez Tsouroukdissian, Arturo; Vidal Seguí, Yolanda; Acho Zuppa, Leonardo; Pozo Montero, Francesc (2010)
      Comunicació de congrés
      Accés obert
    • Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems 

      Canalias Vila, Elisabet; Masdemont Soler, Josep (2004)
      Article
      Accés obert
      In this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, ...
    • Horseshoe periodic orbits for saturn coorbital satellites 

      Llibre Saló, Jaume; Ollé Torner, Mercè (2000)
      Article
      Accés obert
      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
      Accés obert
    • Lagrangian coherent structures 

      Ros Roca, Xavier (Universitat Politècnica de Catalunya, 2015-05)
      Treball Final de Grau
      Accés obert
      Real-life mechanical systems can usually be modeled as non-linear, non-periodic and non-autonomous dynamical systems. It is very important to have different tools to study these systems, and there are many classical ...
    • Limit cycles for piecewise linear differential systems via Poincaré–Miranda theorem 

      Gasull Embid, Armengol; Mañosa Fernández, Víctor (Birkhäuser, 2019)
      Capítol de llibre
      Accés restringit per política de l'editorial
      In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Miranda theorem, Preprint 2018 Ref [2]), we develop an effective procedure to prove the existence, determine the number, and ...
    • Lindstedt series for lower dimensional tori 

      Jorba, Angel; Llave Canosa, Rafael de la; Zou, Maorong (1995)
      Article
      Accés obert
      We consider the existence and effective computation of low-dimensional (less independent frequencies than degrees of freedom) invariant tori of a near-integrable system. Lindstedt method is a systematic procedure to compute ...
    • Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach 

      Broer, H. W.; Hanssmann, Heinz; Jorba, Angel; Villanueva Castelltort, Jordi; Wagener, Florian (2003)
      Article
      Accés obert
      We 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 exploration of the limit ring problem 

      Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Hall, G.R. (2013-04)
      Article
      Accés obert
      The aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1 + n body problem, where an infinitesimal particle moves under the ...
    • On co-orbital quasi-periodic motion in the three-body problem 

      Cors Iglesias, Josep Maria; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia (2019-01-01)
      Article
      Accés obert
      Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM $4$-tori related to the co-orbital motion of two small moons about a large planet where the moons move in ...
    • On the analysis of the quasi-static regime 

      Ikhouane, Fayçal (2010)
      Comunicació de congrés
      Accés obert
      Hysteresis is a nonlinear phenomenon exhibited by systems stemming from various science and engineering areas. To detect experimentally the presence of hysteresis in a system, the graph output versus input of the system ...
    • Optimum short-term hydrothermal scheduling with spinning reserve through network flows 

      Heredia, F.-Javier (Francisco Javier); Nabona Francisco, Narcís (1995-08)
      Article
      Accés obert
      Optimizing the thermal production of electricity in the short term in an integrated power system when a thermal unit commitment has been decided means coordinating hydro and thermal generation in order to obtain the minimum ...
    • Parallel computation of normal forms 

      Roldán González, Pablo (2004)
      Article
      Accés obert
      The time to compute normal forms numerically grows very fast with respect to the degree of the normal form and the dimension of the system. We design and implement a parallel algorithm based on the parallel computation ...
    • Periodic orbits of horseshoe type in the planar restricted three-body problem 

      Llibre Saló, Jaume; Ollé Torner, Mercè (2002)
      Article
      Accés obert
    • Phase portraits of separable Hamiltonian systems 

      Guillamon Grabolosa, Antoni; Pantazi, Chara (Universidad de Sevilla, 2007-09)
      Text en actes de congrés
      Accés obert
      We study some generalizations of potential Hamiltonian systems $(H(x, y) = y^2 + F(x))$ with one degree of freedom. In particular, we are interested in Hamiltonian systems with Hamiltonian functions of type $H(x, y) = ...