Title:Pattern formation and feedback controls of Ginzburg-Landau spiral waves
Speaker:戴佳原教授(中興應數系)
Time:2021.11.29 (Mon.) 16:00 – 17:00
Venue:第三綜合大樓2F 201
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Tea time:15:30, Room 707
Abstract:
Our beautiful world exhibits so many intricate spatio-temporal patterns. In particular, self-organized spiral waves have been observed in physiology, chemistry, and physics. Among various models describing spiral waves, I focus on the complex Ginzburg-Landau equation, because its gauge symmetry offers an advantage for mathematical analysis. The framework of my research is a trilogy: existence, (in-)stability, and delayed feedback stabilization. The existence and (in-)stability of spiral waves result from an analysis based on global bifurcation and a new shooting method. Then I adopt noninvasive delayed feedback controls to stabilize some unstable spiral waves.