Enviaments recents

  • On dynamics and invariant sets in predator-prey maps 

    Lázaro Ochoa, José Tomás; Alsedà, Lluís; Sardañés, Josep; Vidiella, Blai (2019-11-27)
    Capítol de llibre
    Accés obert
    A multitude of physical, chemical, or biological systems evolving in discrete time can be modelled and studied using difference equations (or iterative maps). Here we discuss local and global dynamics for a predator-prey ...
  • How does the hopf bifurcation appear in the hydrogen atom in a Circularly Polarized (CP) microwave field? 

    Ollé Torner, Mercè; Pacha Andújar, Juan Ramón (Birkhäuser, 2019)
    Capítol de llibre
    Accés restringit per política de l'editorial
    The dynamics of the Rydberg atom in a rotating electric field can be described by a two degree of freedom Hamiltoniandepending on a parameterK. This Hamiltonian has two equilibrium pointsL1andL2. WhileL1is a saddle-center ...
  • Computation of invariant curves in the analysis of periodically forced neural oscillators 

    Pérez Cervera, Alberto; Huguet Casades, Gemma; Martínez-Seara Alonso, M. Teresa (Springer, 2018)
    Capítol de llibre
    Accés obert
    Background oscillations, reflecting the excitability of neurons, are ubiq- uitous in the brain. Some studies have conjectured that when spikes sent by one population reach the other population in the peaks of excitability, ...
  • On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds 

    Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey (Springer, 2016)
    Capítol de llibre
    Accés restringit per política de l'editorial
    We study bifurcations of non-orientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on non-orientable two-dimensional manifolds. We consider one and two parameter ...
  • Effects of thermoregulation on human sleep patterns: A mathematical model of sleep-wake cycles with REM-NREM subcircuit 

    Bañuelos, Selenne; Best, Janet; Huguet Casades, Gemma; Prieto-Langarica, Alicia; Pyzza, Pamela; Schmidt, Markus; Wilson, Shelby (2015)
    Capítol de llibre
    Accés obert
    In this paper we construct a mathematical model of human sleep/wake regulation with thermoregulation and temperature e ects. Simulations of this model show features previously presented in experimental data such as elongation ...