Now showing items 1-20 of 181

  • Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps 

    Delshams Valdés, Amadeu; Gonchenko, S.V.; Lázaro Ochoa, José Tomás; Stenkin, Oleg (2013-01-01)
    Article
    Open Access
    We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle fixed points. We consider one-parameter families of reversible maps unfolding ...
  • A dynamic Parrondo's paradox for continuous seasonal systems 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2019-11-27)
    External research report
    Open Access
    We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is ...
  • A geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems 

    Delshams Valdés, Amadeu; Huguet Casades, Gemma (2011-03-01)
    Article
    Restricted access - publisher's policy
    In this paper we consider a representative a priori unstable Hamiltonian system with 2 + 1/2 degrees of freedom and we apply the geometric mechanism for diffusion introduced in [A. Delshams, R. de la Llave, T.M. Seara, ...
  • A KAM theorem without action-angle variables for elliptic lower dimensional tori 

    Luque Jiménez, Alejandro; Villanueva Castelltort, Jordi (2011-02)
    Article
    Restricted access - publisher's policy
    We study elliptic lower dimensional invariant tori of Hamiltonian systems via parametrizations. The method is based on solving iteratively the functional equations that stand for invariance and reducibility. In contrast ...
  • Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2) 

    Fedorov, Yuri; Enolski, Viktor Z. (2014-11)
    External research report
    Open Access
    For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 ...
  • A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies 

    Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2014-07)
    External research report
    Open Access
  • Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems 

    García Planas, María Isabel; Tarragona Romero, Sonia (2012)
    Article
    Open Access
    Let E(p)x˙ = A(p)x + B(p)u be a family of singular linear systems smoothly dependent on a vector of real parameters p = (p1, . . . , pn). In this work we construct versal deformations of the given differentiable family under ...
  • Analysis of periodic solutions of the system Janus - Epimetheus 

    Huesca Molina, Luis (Universitat Politècnica de Catalunya, 2016-07)
    Bachelor thesis
    Open Access
    Desenvolupament d'un model 2-dimensional per el sistema coorbital de Janus i Epimetheus al voltant de Saturn, afegint l'aplanament del planeta. Demostracio d'un teorema de simetries sobre les equacions de moviment i analisi ...
  • Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid 

    Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam (2014-10)
    Article
    Open Access
    Degradation of solids bearing load due to the infusion of moisture when exposed to the environment can leads to a decrease in their load carrying capacity and can also lead to the failure of the body from performing its ...
  • Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field 

    Cheng, Yu; Gómez Muntané, Gerard; Masdemont Soler, Josep; Yuan, Jianping (2018-09-01)
    Article
    Restricted access - publisher's policy
    We analyse a dynamical scenario where a constantly charged spacecraft (follower) moves in the vicinity of another one (leader) that follows a circular Keplerian orbit around the Earth and generates a rotating magnetic ...
  • Analytical and computational tools for the study of phase and synchrony in neural oscillators 

    Castejón Company, Oriol (Universitat Politècnica de Catalunya, 2010-10)
    Master thesis
    Open Access
    En aquest treball es pretén donar una visió de les aplicacions dels sistemes dinàmics en el camp de la neurociència, així com ampliar les eines que s'utilitzen fins ara. En el primer capítol es descriu el marc teòric on ...
  • A new approach to the vakonomic mechanics 

    Llibre Saló, Jaume; Ramírez Ros, Rafael; Sadovskaia Nurimanova, Natalia Guennadievna (2014-11-01)
    Article
    Restricted access - publisher's policy
    The aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appel principle are not the only way to deduce the equations of motion of the nonholonomic systems. Instead of them we consider ...
  • Aplicación de redes neuronales artificiales a la previsión de series temporales no estacionarias o no invertibles 

    Pino Díez, Raúl; Fuente García, David de la; Parreño Fernández, José; Priore Moreno, Paolo (Institut d'Estadística de Catalunya, 2002)
    Article
    Open Access
    En los últimos tiempos se ha comprobado un aumento del interés en la aplicación de las Redes Neuronales Artificiales a la previsión de series temporales, intentando explotar las indudables ventajas de estas herramientas. ...
  • Application of System Dynamics to model rework in construction projects 

    Ramírez Cruz, Néstor Eduardo (Universitat Politècnica de Catalunya, 2014-02-25)
    Master thesis
    Open Access
  • Applications to celestial mechanics 

    Torrent Canelles, Adrià (Universitat Politècnica de Catalunya, 2018-07)
    Bachelor thesis
    Open Access
    El Problema Restringit de Tres Cossos (Restricted Three Body Problem en anglés) ha sigut àmpliament estudiat i té múltiples aplicacions en astrodinàmica i mecànica celest. En aquest projecte s'estudien les òrbites periòdiques ...
  • Arnold diffusion for a complete family of perturbations 

    Delshams Valdés, Amadeu; Gonçalves Schaefer, Rodrigo (Springer, 2017-01-01)
    Article
    Open Access
    In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamiltonian system of 2 + 1/2 degrees of freedom H(p, q, I, f, s) = p2/2+ cos q - 1 + I2/2 + h(q, f, s; e) — proving that for ...
  • A route to chaos in the Boros-Moll map 

    Gardini, Laura; Mañosa Fernández, Víctor; Sushko, Iryna (2018-04-18)
    External research report
    Open Access
    The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter ...
  • A Route to chaos in the Boros–Moll map 

    Gardini, Laura; Mañosa Fernández, Víctor; Sushko, Iryna (2019-04)
    Article
    Restricted access - publisher's policy
    The Boros–Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to their convergence. In the paper, we study the dynamics of a one-parameter family ...
  • A Second Order Expansion of the Separatrix Map for Trigonometric Perturbations of a Priori Unstable Systems 

    Guàrdia Munarriz, Marcel; Kaloshin, Vadim; Zhang, Jianlu (2016-11-01)
    Article
    Open Access
    In this paper we study a so-called separatrix map introduced by Zaslavskii–Filonenko (Sov Phys JETP 27:851–857, 1968) and studied by Treschev (Physica D 116(1–2):21–43, 1998; J Nonlinear Sci 12(1):27–58, 2002), Piftankin ...
  • 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)
    Conference lecture
    Open Access
    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 ...