摘要
研究了一类具有非光滑周期扰动Duffing系统的动力学行为,尝试采用Fourier级数展开的方法来处理系统的非光滑特性,并在此基础上利用Melnikov方法给出了该系统出现混沌的解析条件.最后,数值模拟的结果显示了该方法的有效性.
In this paper, the dynamics of Duffing system with non-smooth periodic perturbation was studied： The theory of Fourier series was used in this system to deal with the nonsmooth character for the first time. The analytical condition for the appearance of chaos was given using Melnikov method. And the numerical simulations confirm the validity of this method in the end.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第9期239-244,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10902085)
河南省科技厅基础与前沿技术资助课题(102300410219)
