#20 – Research on Small Amplitude Periodic Solutions of Hopf Bifurcation Theorem of Fractional Differential Equation of Equilibrium Point of Group Competitive Wushu Activity

Hongjun Liu, Songting Lu, and Hailong Qin.  Research on Small Amplitude Periodic Solutions of Hopf Bifurcation Theorem of Fractional Differential Equation of Equilibrium Point of Group Competitive Wushu Activity.  Dynamic Systems and Applications 29 (2020) No. 3, 659-668

https://doi.org/10.46719/dsa202029320

ABSTRACT: Considering the prediction of group sports activities, the paper establishes a model of ordinary differential equations, and uses Hopf bifurcation theory to prove the existence of small-amplitude periodic solutions and Asymptotic stability at positive equilibrium.

Keywords: group sports; equilibrium point; small amplitude periodic solution.