Bifurcation Caused by Delay in a Fractional-Order Coupled Oregonator Model in Chemistry
Changjin Xu, Chaouki Aouiti, Zixin Liu, Peiluan Li, Lingyun Yao
Abstract
Establishing dynamical models to characterize the relation of different chemical compositions is an important topic in chemistry and mathematics. However, a lot of dynamical models are merely concerned with the integer-order dynamical models. The report on fractional-order chemical dynamical systems is quite few. In this current article, based on the earlier publications, we establish a new fractional-order coupled Oregonator model incorporating time delay. A set of sufficient conditions which ensure the stability and the onset of Hopf bifurcation of fractional-order coupled Oregonator model incorporating time delay are derived by regarding the time delay as bifurcation parameter. The exploration manifests that time delay has a vital influence on stabilizing system and controlling bifurcation of the investigated fractional-order coupled Oregonator model. At last, Matlab simulation results are adequately displayed to corroborate the derived theoretical achievements.