摘要
应用Ｍｅｌｎｉｋｏｖ方法研究一类推广的软弹簧型Ｄｕｆｆｉｎｇ方程在弱周期参数激励下的动力学行为，给出系统出现浑沌、次谐分枝及超次谐分枝的某些充分条件，讨论了由有限次超次谐分枝导至浑沌的可能性。
Melnikov method is osed in this paper to discuss the dynamical behaviour under the excitation of weak periodic parameter on a class of soft spring Duffing equation. The sufficient conditions of the existence of chaos, subharmonic bifurcation and hyper-subharmonic bifurcation are given, and the possiblity of hyper-subharmonic bifurcation from limited orders to chaos is discussed.
