EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions: Enviaments recents

Ara es mostren els items 1-12 de 606

    • Reversible perturbations of conservative Hénon-like maps 

      Gonchenko, Marina; Gonchenko, Sergey; Safonov, Klim (2021-04-01)
      Article
      Accés obert
      For area-preserving Hénon-like maps and their compositions, we consider smooth perturbations that keep the reversibility of the initial maps but destroy their conservativity. For constructing such perturbations, we use two ...

    • Triangular Gross-Pitaevskii breathers and Damski-Chandrasekhar shock waves 

      Olshanii, Maxim; Deshommes, Dumesle; Gonchenko, Marina; Dunjko, Vedran; Astrakharchik, Grigori (2021-01-01)
      Article
      Accés obert
      The recently proposed map [arXiv:2011.01415] between the hydrodynamic equations governing the two-dimensional triangular cold-bosonic breathers [Phys. Rev. X 9, 021035 (2019)] and the high-density zero-temperature triangular ...

    • A coordinate atlas of the manifold of observable conditioned invariant subspaces 

      Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, I (2001-02)
      Article
      Accés obert
      Given an observable system (C,A) € Km×n×Kn×n with K = R or C , the set of (C,A)- invariant subspaces having the restricted system fixed observability indices is a smooth manifold embedded on the corresponding Grassmannian. ...

    • Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies 

      Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2020-01-01)
      Article
      Accés obert
      We study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional torus ...

    • The dynamics of digits: calculating Pi with Galperin's billiards 

      Aretxabaleta, Xabier M.; Gonchenko, Marina; Harshman, Nathan L.; Jackson, Steven Glenn; Olshanii, Maxim; Astrakharchik, Grigori (Multidisciplinary Digital Publishing Institute (MDPI), 2020-04-01)
      Article
      Accés obert
      In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number p . This classical, one-dimensional three-body system (counting the hard wall) calculates the digits of p ...

    • Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies 

      Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2019-06)
      Report de recerca
      Accés obert
      We study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional ...

    • On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps 

      Gonchenko, Marina; Gonchenko, Sergey; Ovsyannikov, Ivan; Vieiro, Arturo (Institute of Physics (IOP), 2018-04-30)
      Article
      Accés obert
      We study the 1:4 resonance for the conservative cubic Hénon maps C^± with positive and negative cubic terms. These maps show up different bifurcation structures both for fixed points with eigenvalues¿±i and for 4-periodic ...

    • A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map 

      Villanueva Castelltort, Jordi; Luque Jiménez, Alejandro (2016-06-15)
      Article
      Accés obert
      We present a numerical method for computing initial conditions of Lagrangian quasi-periodic invariant tori of Hamiltonian systems and symplectic maps. Such initial conditions are found by solving, using the Newton method, ...

    • Traveling wave solutions in a half-space for boundary reactions 

      Cabré Vilagut, Xavier; Consul Porras, M. Nieves; Mande Nieto, José Vicente (2015-01-01)
      Article
      Accés obert
      We prove the existence and uniqueness of a traveling front and of its speed for the homogeneous heat equation in the half-plane with a Neumann boundary reaction term of unbalanced bistable type or of combustion type. We ...

    • A note on symplectic and Poisson linearization of semisimple Lie algebra actions 

      Miranda Galcerán, Eva (2015-03)
      Report de recerca
      Accés obert
      In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields ...

    • Generic bifurcations of low codimension of planar Filippov Systems 

      Martínez-Seara Alonso, M. Teresa; Guàrdia Munarriz, Marcel; Teixeira, Marco Antonio (2011-02)
      Article
      Accés restringit per política de l'editorial
      In this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local(and global) bifurcations in ...

    • A distributed attitude control law for formation flying based on the Cucker-smale model 

      Paita, Fabrizio; Gómez Muntané, Gerard; Masdemont Soler, Josep (2014)
      Text en actes de congrés
      Accés obert
      In this paper we consider the attitude synchronization problem for a swarm of spacecrafts flying in formation. Starting from previous works on consensus dynamics, we construct a distributed attitude control law and derive ...