Now showing items 1-3 of 3

  • Analytical and computational tools for the study of phase and synchrony in neural oscillators 

    Castejón Company, Oriol (Universitat Politècnica de Catalunya, 2010-10)
    Master thesis
    Open Access
    En 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) 

    Baldomá Barraca, Inmaculada; Castejón Company, Oriol; Martínez-Seara Alonso, M. Teresa (2018-10-01)
    Article
    Restricted access - publisher's policy
    In 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 

    Baldomá Barraca, Inmaculada; Castejón Company, Oriol; Martínez-Seara Alonso, M. Teresa (2018-04-17)
    Article
    Open Access
    In 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 ...