Kei-ichi Ueda Research Institute for Mathematical Sciences, Kyoto University "Pulse splitting in reaction-diffusion systems on growing domains" October 6 3:05pm in LCB 215 A cascade process of pulse (stripe) splitting can occur if the domain size increases for reaction-diffusion systems . When we take a single pulse as the initial data on an initially small domain, the patterns we obtain finally depends on the domain growth speed. For instance, the number of stripes increases as powers of 2; namely, each stripe doubles as its size grows rapidly. In order to describe the splitting process, we construct an invariant manifold near the onset of splitting, and derive the nonlinear ODE on it. |