Differential Equations and Mathematical Physics Seminar
The next meeting of the seminar on Differential Equations and Mathematical Physics will be held online on June 22, 2022, at 2 p.m. (UTC+3). A talk on On Contact Defects in Reaction-Diffusion Systems will be delivered by Dr. Milen Ivanov. Abstract: Solutions of reaction-diffusion systems exhibit a wide variety of patterns like spirals, stripes and Turing patterns. In particular, the Belousov-Zhabotinsky (BZ) reaction produces spiral patterns, which may undergo a period-doubling bifurcation; then a line defect is emitted from the center of the spiral and along it the pattern jumps half a period. In order to study this phenomenon, we consider the so-called contact defects, studied by Sandstede and Scheel: functions, which converge (in an appropriate sense) to a periodic function as x→±∞. Of [...]