par Jansons, Kalvis K.M.;Lythe, Grant david 
Référence Journal of statistical physics, 90, 1-2, page (227-251)
Publication Publié, 1998-01
Référence Journal of statistical physics, 90, 1-2, page (227-251)
Publication Publié, 1998-01
Article révisé par les pairs
| Résumé : | For the dynamic pitchfork bifurcation in the presence of white noise, the statistics of the last time at zero are calculated as a function of the noise level ε and the rate of change of the parameter μ. The threshold crossing problem used, for example, to model the firing of a single cortical neuron is considered, concentrating on quantities that may be experimentally measurable but have so far received little attention. Expressions for the statistics of pre-threshold excursions, occupation density, and last crossing time of zero are compared with results from numerical generation of paths. |
