Browsing by Author "Huguet Casades, Gemma"
Now showing items 1-15 of 15
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A computational and geometric approach to phase resetting curves and surfaces
(2009)
Article
Open Access -
A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems
(2010-07)
External research report
Open AccessIn this paper we consider a representative a priori unstable Hamiltonian system with 2 + 1/2 degrees of freedom, to which we apply the geometric mechanism for diffusion introduced in the paper Delshams et al., Mem. Amer. ... -
A geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems
(2011-03-01)
Article
Restricted access - publisher's policyIn this paper we consider a representative a priori unstable Hamiltonian system with 2 + 1/2 degrees of freedom and we apply the geometric mechanism for diffusion introduced in [A. Delshams, R. de la Llave, T.M. Seara, ... -
Computation of invariant curves in the analysis of periodically forced neural oscillators
(Springer, 2018)
Part of book or chapter of book
Restricted access - publisher's policyBackground 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, ... -
Computation of limit cycles and their isochrons: Fast algorithms and their convergence
(2013)
Article
Restricted access - publisher's policyWe present efficient algorithms to compute limit cycles and their isochrons (i.e., the sets of points with the same asymptotic phase) for planar vector fields. We formulate a functional equation for the parameterization ... -
Dones i Matemàtiques
(2015-03-11)
Audiovisual
Open AccessL'objectiu d'aquesta taula rodona és abordar la situació de les dones en el camp de les matemàtiques. Tot i que actualment l'activitat matemàtica de les dones és més gran que mai, encara són poques les dones que es dediquen ... -
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 ... -
Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems
(2008-12-08)
Article
Open AccessIn the present paper we consider the case of a general $\cont{r+2}$ perturbation, for $r$ large enough, of an a priori unstable Hamiltonian system of $2+1/2$ degrees of freedom, and we provide explicit conditions on it, ... -
Gluing and grazing bifurcations in periodically forced 2-dimensional integrate-and-fire models
(2019-05-01)
Article
Restricted access - publisher's policyIn this work we consider a general class of 2-dimensional hybrid systems. Assuming that the system possesses an attracting equilibrium point, we show that, when periodically driven with a square-wave pulse, the system ... -
Neuroprotective Role of Gap Junctions in a Neuron Astrocyte Network Model
(2016-07-26)
Article
Open AccessA detailed biophysical model for a neuron/astrocyte network is developed to explore mechanisms responsible for the initiation and propagation of cortical spreading depolarizations and the role of astrocytes in maintaining ... -
Noise and adaptation in multistable perception: noise drives when to switch, adaptation determines percept choice.
(2014-03-13)
Article
Open AccessWe study the dynamics of perceptual switching in ambiguous visual scenes that admit more than two interpretations/percepts to gain insight into the dynamics of perceptual multistability and its underlying neural mechanisms. ... -
Phase-amplitude response functions for transient-state stimuli
(2013-08)
Article
Open AccessThe phase response curve (PRC) is a powerful tool to study the effect of a perturbation on the phase of an oscillator, assuming that all the dynamics can be explained by the phase variable. However, factors like the rate ... -
Phasic firing and coincidence detection by subthreshold negative feedback: divisive or subtractive or, better, both
(2017-02-02)
Article
Open AccessPhasic neurons typically fire only for a fast-rising input, say at the onset of a step current, but not for steady or slow inputs, a property associated with type III excitability. Phasic neurons can show extraordinary ... -
Quasiperiodic perturbations of heteroclinic attractor networks
(Institute of Physics (IOP), 2018-10-01)
Article
Restricted access - publisher's policyWe consider heteroclinic attractor networks motivated by models of competition between neural populations during binocular rivalry. We show that gamma distributions of dominance times observed experimentally in binocular ... -
The role of hyperbolic invariant objects: From Arnold diffusion to biological clocks
(Universitat Politècnica de Catalunya, 2008-10-16)
Doctoral thesis
Open AccessEl marc d'aquesta tesi són els objectes invariants hiperbòlics (tors amb bigotis, cicles límit, NHIM,. . .), que constitueixen, per aquesta tesi, els objectes essencials per a l'estudi de diversos problemes des de la difusió ...
