Capítols de llibre
Enviaments recents
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On dynamics and invariant sets in predator-prey maps
(2019-11-27)
Capítol de llibre
Accés obertA 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?
(Birkhäuser, 2019)
Capítol de llibre
Accés restringit per política de l'editorialThe 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
(Springer, 2018)
Capítol de llibre
Accés obertBackground 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
(Springer, 2016)
Capítol de llibre
Accés restringit per política de l'editorialWe 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
(2015)
Capítol de llibre
Accés obertIn 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 ...