Browsing by Author "Fontich, Ernest"
Guillamon Grabolosa, Antoni; Fontich, Ernest; Sardañés, Josep (2015-12-21)
Open AccessWe 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 ...
Fontich, Ernest; Llave Canosa, Rafael de la; Martín de la Torre, Pablo (2011-03-15)
Restricted access - publisher's policyWe 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)
Restricted access - publisher's policyThis 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 ...
Baldomá Barraca, Inmaculada; Fontich, Ernest; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa (2011)
External research report
Open AccessIn 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 ...