摘要
应用分支理论和Melnikov方法,研究了具有线性恢复力和外部激励的Duffing-Van der Pol系统的复杂动态,得到了周期扰动下混沌动态存在的临界值,并进行了数值模拟,不仅验证了理论结果,并且得到了一些新的复杂动态.
In this paper, by applying bifurcation theory and melnikov method, the complex dynamics in Duffing-Van der Pol system with nonlinear restoring and external excitations are investigated. The threshold values of existence of chaotic motion under the periodic perturbation are obtained. Numerical simulations not only show the consistence with the theoretical analysis but also exhibit some new complex dynamics.
出处
《湘潭大学自然科学学报》
CAS
CSCD
北大核心
2010年第2期17-23,共7页
Natural Science Journal of Xiangtan University
基金
重庆市教育委员会科学技术研究项目(041302)
