Speaker: Kei-ichi Ueda
Title: Pulse splitting in reaction-diffusion systems on growing domains
Abstract:
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.