Now showing items 1-4 of 4

  • Bifurcations analysis of oscillating hypercycles 

    Guillamon Grabolosa, Antoni; Fontich, Ernest; Sardañés, Josep (2015-12-21)
    Article
    Open Access
    We investigate the dynamics and transitions to extinction of hypercycles governed by periodic orbits. For a large enough number of hypercycle species (n > 4) the existence of a stable periodic orbit has been previously ...
  • Dynamical systems on lattices with decaying interaction I: A functional analysis framework 

    Fontich, Ernest; Llave Canosa, Rafael de la; Martín de la Torre, Pablo (2011-03-15)
    Article
    Restricted access - publisher's policy
    We consider weakly coupled map lattices with a decaying interaction. That is, we consider systems which consist of a phase space at every site such that the dynamics at a site is little affected by the dynamics at far ...
  • Dynamical systems on lattices with decaying interaction II: Hyperbolic sets and their invariant manifolds 

    Fontich, Ernest; Llave Canosa, Rafael de la; Martín de la Torre, Pablo (2011-03-15)
    Article
    Restricted access - publisher's policy
    This is the second part of the work devoted to the study of maps with decay in lattices. Here we apply the general theory developed in Fontich et al. (2011) to the study of hyperbolic sets. In particular, we establish that ...
  • Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results 

    Baldomá Barraca, Inmaculada; Fontich, Ernest; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa (2011)
    External research report
    Open Access
    In this paper we study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation which is fast and periodic in time. We provide ...