Now showing items 1-3 of 3

  • Breakdown of heteroclinic orbits for analytic unfoldings of the hopf-zero singularity. The singular case 

    Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2011)
    External research report
    Open Access
    In this paper we prove the breakdown of an heteroclinic connection in the analytic versal unfoldings of the generic Hopf-Zero singularity. This heteroclinic orbit appears at any order if one performs the normal form around ...
  • Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity 

    Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2013)
    Article
    Restricted access - publisher's policy
    In this paper we prove the breakdown of a heteroclinic connection in the analytic versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space. This heteroclinic orbit appears at any order ...
  • Phase-amplitude response functions for transient-state stimuli 

    Castejón i Company, Oriol; Guillamon Grabolosa, Antoni; Huguet Casades, Gemma (2013-08)
    Article
    Open Access
    The 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 ...