## JMI2009B-2 Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity (pp.91-95)

Author(s)： Shin-Ichiro Ei, Yasumasa Nishiura and Kei-Ichi Ueda

J. Math-for-Ind. **1B** (2009) 91-95.

- File： JMI2009B-2.pdf (427KB)

Abstract

The dynamics of a pulse for reaction-diffusion systems in 1D is considered in the neighborhood of the bifurcation point with codimension two, at which both of saddle-node and drift bifurcations occur at the same time. It is theoretically shown that when the bifurcation parameter is close to such a bifurcation point, a pulse moves with oscillation, and then starts to split.

Keyword(s). traveling pulse, self-replicating of pulses, saddle-node bifurcation, drift bifurcation