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 ...