Recent Submissions

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

    Olshanii, Maxim; Deshommes, Dumesle; Gonchenko, Marina; Dunjko, Vedran; Astrakharchik, Grigori (2021-01-01)
    Article
    Open Access
    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
    Open Access
    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
    Open Access
    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
    Open Access
    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 ...
  • 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
    Open Access
    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
    Open Access
    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
    Open Access
    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 ...
  • Generic bifurcations of low codimension of planar Filippov Systems 

    Martínez-Seara Alonso, M. Teresa; Guàrdia Munarriz, Marcel; Teixeira, Marco Antonio (2011-02)
    Article
    Restricted access - publisher's policy
    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 ...
  • Credit risk contributions under the Vasicek one-factor model: a fast wavelet expansion approximation 

    Masdemont Soler, Josep; Ortiz-Gracia, Luis (2014-06)
    Article
    Open Access
    To measure the contribution of individual transactions inside the total risk of a credit portfolio is a major issue in financial institutions. VaR Contributions (VaRC) and Expected Shortfall Contributions (ESC) have become ...
  • Com les Varietats Invariants formen Espirals i Anells en Galàxies barrades 

    Romero Gómez, Mercè; Sánchez-Martín, Patricia; Masdemont Soler, Josep (2014)
    Article
    Open Access
    L'espectacularitat de les galàxies barrades consisteix no solament en la presència de la barra, allargada en el centre de la galàxia, sinó també en els braços espirals o anells que es desenvolupen en les parts exteriors. ...
  • Structural stability of planar bimodal linear systems 

    Ferrer Llop, Josep; Peña Carrera, Marta; Susín Sánchez, Antonio (2014-01-01)
    Article
    Open Access
    Structural stability ensures that the qualitative behavior of a system is preserved under small perturbations. We study it for planar bimodal linear dynamical systems, that is, systems consisting of two linear dynamics ...
  • EMtree for phylogenetic topology reconstruction on nonhomogeneous data 

    Ibáñez Marcelo, Esther; Casanellas Rius, Marta (2014-06-17)
    Article
    Open Access

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