Heterogeneity-induced Pulse Generators in Generalized FitzHugh-Nagumo System

Monday, June 3, 2013 - 3:00pm - 3:30pm
Keller 3-180
Takashi Teramoto (Asahikawa Medical College)
Heterogeneity is one of the most important and ubiquitous types of external perturbations. I study a spontaneous pulse generating mechanism caused by the heterogeneity of jump type. Such a pulse generator has attracted much interest in relation to potential computational abilities of pulse waves in physiological signal processing. Exploring the global bifurcation structure of pulse generators as periodic solutions, I find firstly the conditions under which they emerge,
i.e., the onset of pulse generators, secondly a candidate for the organizing center producing a variety of pulse generators. This is joint work with M. Yadome, X. Yuan, and Y. Nishiura.