• Assessment of the depth of anesthesia based on symbolic dynamics of the EEG 

    Tupaika, Nadine; Vallverdú Ferrer, Montserrat; Jospin, Mathieu; Jensen, Erik Weber; Struys, Michel M. R. F.; Vereecke, Hugo E. M.; Voss, Andreas; Caminal Magrans, Pere (2010)
    Comunicación de congreso
    Acceso abierto
    Methodologies based on symbolic dynamics have successfully demonstrated to reflect the nonlinear behavior of biological signals. In the present study, symbolic dynamics was applied to the electroencephalogram (EEG) in ...
  • Chaotic advection, transport and patchiness in clouds of pollution in an estuarine flow 

    Stirling, James Robert (American Institute of Mathematical Sciences, 2001)
    Artículo
    Acceso abierto
    We present an application of the transport theory developed for area preserving dynamical systems, to the problem of pollution and in particular patchiness in clouds of pollution in partially stratified estuaries. We ...
  • De la mecànica celeste als sistemes dinàmics: un camí d'anar i tornar 

    Simó, Carles (2006-05-17)
    Audiovisual
    Acceso abierto
    La Mecànica Celeste estudia el moviment dels astres i, en general, tot tema relacionat amb el problema dels N cossos i les seves aplicacions a la ciència espacial. Podem considerar que el seu origen remot és el coneixement ...
  • Dynamics and mission design near libration points, advanced methods for collinear points 

    Gómez, Gerard; Jorba, Angel; Masdemont Soler, Josep; Simó Torres, Carlos (2000)
    Artículo
    Acceso abierto
    Preface and table of contents of a forthcoming book published by World Scientific
  • Dynamics and mission design near libration points, advanced methods for triangular points 

    Gómez, Gerard; Jorba, Angel; Masdemont Soler, Josep; Simó Torres, Carlos (2000)
    Artículo
    Acceso abierto
    The final objective of this work is to understand, analyze and compute the kinds of motion that appear on a vicinity (may be a large vicinity) of the geometrically defined equilateral points of the Earth-Moon system, as a ...
  • Dynamics and transitions in symmetric hypercycles: the role of the hypercycle size 

    Farré Puiggalí, Gerard (Universitat Politècnica de Catalunya, 2016-07)
    Projecte Final de Màster Oficial
    Acceso abierto
    The symmetric hypercycle with error tail has been widely studied both numerically and analytically in the last years, but there are still many open questions. In this work we will try to give an answer for a few of these ...
  • El problema dels deu Martinis 

    Puig Sadurní, Joaquim (2005-03-09)
    Audiovisual
    Acceso abierto
    "El problema dels 10 martinis fou plantejat el 1981 pel matemàtic Marc Kac i es pregunta per l'estructura cantoriana de l'espectre de l’operador «almost Mathieu» o de Harper. En aquesta xerrada exposarem les motivacions ...
  • Estudi de models de neurociència amb eines de sistemes dinàmics 

    Amado Vicente, Enric (Universitat Politècnica de Catalunya, 2019-05)
    Trabajo final de grado
    Acceso abierto
    He estudiat el treball fet per uns investigadors dins del camp dels sistemes dinàmics aplicats a la neurociència. Explicant detalladament com van obtindre les equacions que descriuen el comportament de dos variables ...
  • Full analysis of small hypercycles with shortcircuits in prebiotic evolution 

    Lázaro Ochoa, José Tomás; Guillamon Grabolosa, Antoni; Fontich, Ernest; Sardañés, Josep (2017-01-05)
    Artículo
    Acceso restringido por política de la editorial
    It is known that hypercycles are sensitive to the so-called parasites and short-circuits. While the impact of parasites has been widely investigated for well-mixed and spatial hypercycles, the effect of short-circuits in ...
  • Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems 

    Canalias Vila, Elisabet; Masdemont Soler, Josep (2004)
    Artículo
    Acceso abierto
    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, ...
  • Homoclinic billiard orbits inside symmetrically perturbed ellipsoids 

    Delshams Valdés, Amadeu; Fedorov, Yuri; Ramírez Ros, Rafael (2000)
    Artículo
    Acceso abierto
    The billiard motion inside an ellipsoid of ${\bf R}^{3}$ is completely integrable. If the ellipsoid is not of revolution, there are many orbits bi-asymptotic to its major axis. The set of bi-asymptotic orbits is described ...
  • Horseshoe periodic orbits for saturn coorbital satellites 

    Llibre Saló, Jaume; Ollé Torner, Mercè (2000)
    Artículo
    Acceso abierto
    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 ...
  • Invariant manifolds of L_3 and horseshoe motion in the restricted three-body problem 

    Barrabés Vera, Esther; Ollé Torner, Mercè (2005)
    Artículo
    Acceso abierto
    In this paper, we consider horseshoe motion in the planar restricted three-body problem. On one hand, we deal with the families of horseshoe periodic orbits (which surround three equilibrium points called L3, L4 and L5), ...
  • Kolmogorov Theorem Revisited 

    Villanueva Castelltort, Jordi (2004)
    Report de recerca
    Acceso abierto
    Kolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems is revisited. In this paper we are mainly concerned with the lower bound on the constant of the Diophantine condition required ...
  • 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)
    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 ...
  • Nonlinear dynamics in an extended neighbourhood of the translunar equilibrium point 

    Jorba, Angel; Masdemont Soler, Josep (1995)
    Artículo
    Acceso abierto
  • On Birkhoff's conjecture about convex billiards 

    Delshams Valdés, Amadeu; Ramírez Ros, Rafael (1995)
    Artículo
    Acceso abierto
    Birkhoff conjectured that the elliptic billiard was the only integrable convex billiard. Here we prove a local version of this conjecture: any non-trivial symmetric entire perturbation of an elliptic billiard is non-integrable.
  • Òrbites d'Ejecció-Col·lisió en el Problema Restringit dels Tres Cossos 

    Rodríguez del Río, Óscar (Universitat Politècnica de Catalunya, 2016-07)
    Projecte Final de Màster Oficial
    Acceso abierto
    En aquest treball farem un estudi del problema restringit dels tres cossos i de les òrbites d'ejecció-col·lisió. Com és conegut, per a valors suficientment petits del paràmetre de masses i regions de Hill prou restrictives ...
  • Periodic motions in coupled blocks with periodic forcing 

    Martín Navarrete, Rocío (Universitat Politècnica de Catalunya, 2015-02)
    Projecte Final de Màster Oficial
    Acceso abierto
    The purpose of this report is to study the dynamics of rigid blocks subjected to an earthquake ground motion. Such study could predict whether a rigid body overturns or remains standing. In particular, three cases are ...
  • Periodic orbits in non-smooth systems with impact 

    Hashemi, Seyedpedram (Universitat Politècnica de Catalunya, 2014-10)
    Projecte Final de Màster Oficial
    Acceso abierto
    In this project we will study time-dependent non smooth systems with impatcs. We will focus in two models: the rocking block model and an oscillator with impacts. We will show how to compute, analitycally and numerically, ...