【摘要】 应用normalform理论 ,首先分析了复摆自治系统在 1:1内共振临界点附近的Hopf分岔解及其在参数平面上的分岔转迁集的解析表达式 ,并与数值解进行了比较 ;然后 ,应用数值方法 ,得到了复摆非自治系统通向混沌的过程更多还原

【Abstract】 By employing the normal form theory, the Hopf bifurcation and the transition boundary of an autonomous double pendulum with 1:1 internal resonance at the critical point is studied. The results are compared with numerical solutions. Further, by numerical methods, the road to chaos of a non_autonomous system is presented in the end.更多还原