A geometric approach to phase response curves and its numerical computation through the parameterization method Pérez Cervera, Alberto; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (2019-01-01)
Open AccessThe phase response curve (PRC) is a tool used in neuroscience that measures the phase shift experienced by an oscillator due to a perturbation applied at different phases of the limit cycle. In this paper, we present a new ...
Pérez Cervera, Alberto; Huguet Casades, Gemma; Martínez-Seara Alonso, M. Teresa (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, ...
Pérez Cervera, Alberto (Universitat Politècnica de Catalunya, 2019-04-04)
Open AccessIn this Thesis we consider problems concerning brain oscillations generated across the interaction between excitatory (E) and inhibitory (I) cells. We explore how two neuronal groups with underlying oscillatory activity ...
Pérez Cervera, Alberto; Ashwin, Peter; Huguet Casades, Gemma; Rankin, James; Martínez-Seara Alonso, M. Teresa (2019-12-01)
Open AccessWe study the dynamics arising when two identical oscillators are coupled near a Hopfbifurcation where we assume a parameter uncouples the system at = 0. Using anormal form forN= 2 identical systems undergoing Hopf bifurcation, ...