Recent Submissions

• 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)
  Part of book or chapter of book
  Restricted access - publisher's policy

  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 ...
• On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds 

  Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey (Springer, 2016)
  Part of book or chapter of book
  Restricted access - publisher's policy

  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 ...
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  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)
  Part of book or chapter of book
  Open Access

  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 ...