Bifurcation Caused by Delay in a Fractional-Order Coupled Oregonator Model in Chemistry

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.