Browsing by Author "Castejón Company, Oriol"
Now showing items 1-4 of 4
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Analytical and computational tools for the study of phase and synchrony in neural oscillators
(Universitat Politècnica de Catalunya, 2010-10)
Master thesis
Open AccessEn aquest treball es pretén donar una visió de les aplicacions dels sistemes dinàmics en el camp de la neurociència, així com ampliar les eines que s'utilitzen fins ara. En el primer capítol es descriu el marc teòric on ... -
Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I)
(2018-10-01)
Article
Open AccessIn this paper we study a beyond all orders phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated ... -
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II): The generic case
(2018-04-17)
Article
Open AccessIn this paper, we prove the breakdown of the two-dimensional stable and unstable manifolds associated to two saddle-focus points which appear in the unfoldings of the Hopf-zero singularity. The method consists in obtaining ... -
Phase-amplitude dynamics in terms of extended response functions: invariant curves and arnold tongues
(2019)
Article
Open AccessPhase response curves (PRCs) have been extensively used to control the phase of oscillators under perturbations. Their main advantage is the reduction of the whole model dynamics to a single variable (phase) dynamics. ...
