These tools will no longer be maintained as of December 31, 2024. Archived website can be found here. PubMed4Hh GitHub repository can be found here. Contact NLM Customer Service if you have questions.


Pubmed for Handhelds

PUBMED FOR HANDHELDS

Search MEDLINE/PubMed

  • Title: Noise-induced effects on period-doubling bifurcation for integrate-and-fire oscillators.
    Author: Tateno T.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2002 Feb; 65(2 Pt 1):021901. PubMed ID: 11863557.
    Abstract:
    This study provides a method for calculating first-order approximations of the Lyapunov exponents of systems with discontinuity in the presence of noise in order to characterize the stability of motions in those systems. This paper in particular illustrates the results of the ways in which noise influences period-doubling bifurcation in the parameter space of an integrate-and-fire model with a periodically modulated reset level. For evaluating a stochastic version of period-doubling bifurcation, the first-passage-time problem of the Ornstein-Uhlenbeck process is used to define a Markov operator governing the transition of a reset-level phase density. The results on the stochastic bifurcation are thus compared with numerical computations of angles and moduli of eigenvalues of the Markov operator that describes the firing properties of the model.
    [Abstract] [Full Text] [Related] [New Search]