Synchronization of multi-frequency noise-induced oscillations

Chaos. 2011 Dec;21(4):047513. doi: 10.1063/1.3659281.

Abstract

Using a model system of FitzHugh-Nagumo type in the excitable regime, the similarity between synchronization of self-sustained and noise-induced oscillations is studied for the case of more than one main frequency in the spectrum. It is shown that this excitable system undergoes the same frequency lockings as a self-sustained quasiperiodic oscillator. The presence of noise-induced both stable and unstable limit cycles and tori, as well as their tangential bifurcations, are discussed. As the FitzHugh-Nagumo oscillator represents one of the basic neural models, the obtained results are of high importance for neuroscience.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Action Potentials / physiology*
  • Animals
  • Biological Clocks / physiology*
  • Computer Simulation
  • Cortical Synchronization / physiology*
  • Humans
  • Models, Neurological*
  • Models, Statistical
  • Nerve Net / physiology*
  • Neurons / physiology*