具有控制参数的Duffing方程的时变分岔

Class of Time-Varying Bifurcation with Feedback Control Parameter by the Duffing Equation

主要研究具有非完全参数的Duffing方程的时变反馈控制问题,其分岔行为与振动极其丰富,会出现各种各样的分岔现象。通过分岔参数的选取,对系统进行反馈控制,使系统出现Hopf分岔,进而讨论系统周期解的存在性和稳定性。

a general class of the time varying bifurcation equation with with a feedback control parameter is considered by the Duffing equation,through choose bifurcation parameter, Hopf bifurcation is appeared Duffing equation,thereby exeistence and stable of periodical solutions is studied.