New approach to predict various oscillatory dynamics

点击翻译按钮获取中文摘要

Normal form for a wave instability under SO(2) symmetry is studied to understand oscillatory patterns for 3-component reaction-diffusion equations on a sphere. It turns out that there are rotating and standing waves in the case of lower mode instabilities and stabilities for both solutions are studied. Another possibilities for oscillatory patterns are also discussed. It turns out that 3-component RD system can have 1-2-3 triple modes degeneracy and its normal form was obtained. Normal form analysis shows that there is Hopf bifurcation point from 1-mode stationary solution.