Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity
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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.
JMI 1, 91-95, 2009
Faculty of Mathematics, Kyushu University