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Recent Submissions
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On dynamics and invariant sets in predator-prey maps
(2019-11-27)
Part of book or chapter of book
Open AccessA 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)
Part of book or chapter of book
Restricted access - publisher's policyThe 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)
Part of book or chapter of book
Open AccessBackground 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)
Part of book or chapter of book
Restricted access - publisher's policyWe 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)
Part of book or chapter of book
Open AccessIn 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 ...