Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:A1L-E
Session:
Number:A1L-E3
Multiple time-scale neurodynamics: singular perturbation, canard and chaos
Shinji Doi,
pp.76-79
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
The classical Bonhoeffer-van der Pol (BvP) neuron model is revisited. Using rigorous asymptotic analysis, the approximate value of a bifurcation parameter in which a so-called "canard" solution appears is obtained. Interesting chaotic canard solutions generated by numerical errors and extraordinarily slow spiking are also presented. The variation of the inter-spike intervals (ISI’s) and its relation to the ability of information processing in single neurons are discussed.