摘要
研究了带线性恢复力和外力激励的Duffing-Van der Pol方程,该系统由未扰动系统经拟周期扰动而得.应用动力系统的分支理论,Melnikov方法,二阶平均方法和混沌理论,得到该系统的平均系统产生混沌的准则,数值模拟验证理论结果正确.
In this paper,a class of Duffing-Van der Pol equation with linear restoring and external excitations is investigated.The equation is deduced from unperturbed system under quasi-periodic perturbation.By applying bifurcation theory,Melnikov methods and second-order averaging method and chaos theories,the criterion of existence of chaos in averaged system are obtained,and numerical simulations show the consistence with the theoretical analysis.
出处
《湘潭大学自然科学学报》
CAS
CSCD
北大核心
2010年第3期22-27,共6页
Natural Science Journal of Xiangtan University
