國立清華大學 數學系

Abstract:
Unstable orbits can be mathematically predicted, but they are invisible in experiments or simulations due to lack of robustness under environmental errors. ”To see the invisible”, in 1992, Kestutis Pyragas introduced a method of noninvasive feedback control that utilizes time delays to stabilize periodic orbits of ODEs. In 2016, Isabelle Schneider extended this control to PDEs using spatio-temporal delays. As a concrete application, in this talk I will stabilize Ginzburg–Landau spiral waves in circular and spherical geometry. This talk serves as my invitation for mathematicians and scientists to consider using this technique to stabilize many other unstable orbits, including traveling waves, in various models.