Resumen de Preservation of Hopf bifurcation for neutral delay-differential equations by 0-methods
Huan Su, Wenxue Li, Xiaohua Ding
This paper considers the preservation of Hopf bifurcation of some neural delay-differential equations by è-method. By analyzing the dynamics of the numerical discrete system derived by è-method, we show that è-method could inherit the Hopf bifurcation and the asymptotical stability for sufficiently small stepsize h = 1/m, wheremis a positive integer.
In particular, for è = 1/2 the result holds for any stepsize h = 1/m. Furthermore, the stability of the closed invariant curve is established. Finally, some numerical examples are illustrated to support the analytic results.
