Ara es mostren els items 1-20 de 56

    • A computational and geometric approach to phase resetting curves and surfaces 

      Guillamon Grabolosa, Antoni; Huguet Casades, Gemma (2009)
      Article
      Accés obert
    • A four-body convex central configuration with perpendicular diagonals is necessarily a kite 

      Corbera, Montserrat; Cors Iglesias, Josep Maria; Roberts, Gareth E. (2018-07-01)
      Article
      Accés obert
      We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.
    • Central configurations in the five-body problem: rhombus plus one 

      Lino Cornelio, J.; Alvarez Ramírez, Martha; Cors Iglesias, Josep Maria (2021-05-20)
      Article
      Accés obert
      We show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically ...
    • Chaotic advection, transport and patchiness in clouds of pollution in an estuarine flow 

      Stirling, James Robert (American Institute of Mathematical Sciences, 2001)
      Article
      Accés obert
      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 ...
    • Classifying four-body convex central configurations 

      Corbera, Montserrat; Cors Iglesias, Josep Maria; Roberts, Gareth E. (2019-07-01)
      Article
      Accés obert
      We classify the full set of convex central configurations in the Newtonian planar four-body problem. Particular attention is given to configurations possessing some type of symmetry or defining geometric property. Special ...
    • Communication through coherence in a realistic neuronal model 

      Reyner Parra, David (Universitat Politècnica de Catalunya, 2020-07)
      Projecte Final de Màster Oficial
      Accés obert
      The Communication Through Coherence (CTC) theory establishes that neural communication is much effective if the underlying oscillatory activity of both populations are phase locked, that is, the input from the emitting ...
    • Detection of Lagrangian Coherent Structures in oceanic flows 

      Bruera, Renzo (Universitat Politècnica de Catalunya, 2021-07)
      Projecte Final de Màster Oficial
      Accés obert
      The Atlantic Meridional Overturning Circulation (AMOC) is a complex system of shallow and deep currents in the Atlantic Ocean which plays a crucial role in the regulation of the Earth's climate. Lagrangian Coherent Structures ...
    • Discretization of Optimization Flows through State-Triggered Control 

      Mestres Ramon, Pol (Universitat Politècnica de Catalunya, 2020-05-22)
      Treball Final de Grau
      Accés obert
      Realitzat a/amb:   University of California, San Diego
      L'interès recent en algorismes d'optimització de primer ordre ha derivat en la formulació de les conegudes com a equacions diferencials d'alta resolució, substituts en el domini continu dels algorismes d'optimització clàssic ...
    • Dynamics and mission design near libration points, advanced methods for collinear points 

      Gómez, Gerard; Jorba, Angel; Masdemont Soler, Josep; Simó Torres, Carlos (2000)
      Article
      Accés obert
      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)
      Article
      Accés obert
      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
      Accés obert
      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 ...
    • Estudi de models de neurociència amb eines de sistemes dinàmics 

      Amado Vicente, Enric (Universitat Politècnica de Catalunya, 2019-05)
      Treball Final de Grau
      Accés obert
      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 ...
    • From 2N to infinitely many escape orbits 

      Fontana McNally, Josep; Miranda Galcerán, Eva; Oms, Cédric; Peralta Salas, Daniel (Pleiades Publishing, 2023-07-31)
      Article
      Accés restringit per política de l'editorial
      —In this short note, we prove that singular Reeb vector fields associated with generic b-contact forms on three dimensional manifolds with compact embedded critical surfaces have either (at least) 2N or an infinite number ...
    • 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, ...
    • Homoclinic billiard orbits inside symmetrically perturbed ellipsoids 

      Delshams Valdés, Amadeu; Fedorov, Yuri; Ramírez Ros, Rafael (2000)
      Article
      Accés obert
      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)
      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 ...
    • Invariant manifolds of L_3 and horseshoe motion in the restricted three-body problem 

      Barrabés Vera, Esther; Ollé Torner, Mercè (2005)
      Article
      Accés obert
      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), ...
    • Model de creixement de Ramsey-Cass-Koopmans: implementació i calibratge 

      Llanos Jiménez, Mauro (Universitat Politècnica de Catalunya / Universitat de Barcelona, 2021-01)
      Treball Final de Grau
      Accés obert
      Els models econòmics són l’eina principal de la qual disposa l’economia per representar la realitat econòmica i el comportament dels agents econòmics d’una forma simplificada mitjançant expressions matemàtiques. Aquest ...
    • Modelització de l'activitat neuronal amb adaptació usant models de camp mitjà 

      Reyner Parra, David (Universitat Politècnica de Catalunya, 2019-07)
      Treball Final de Grau
      Accés obert
      Entendre el funcionament del cervell implica l'estudi de grans xarxes de neurones. Una manera alternativa de descriure la dinàmica col lectiva de la xarxa és en termes de mesures macroscòpiques de la població neuronal, ...
    • Moore-Gibson-Thompson theory for thermoelastic dielectrics 

      Fernández, José Ramón; Quintanilla de Latorre, Ramón (2021-02)
      Article
      Accés obert
      We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. ...