摘要
本文用Melnikov方法得到了含二次非线性项受迫振动系统的混沌阈值,分析了参数对阈值的影响,与以往用近似二维叠代和数值积分的结果进行了比较。
In this paper, the threshold of chaos in a forced vibration system with a square nonlinear term is given by using the Melnikov method. The effects of parameters on the threshold are analyzed. The known results obtained respectively by approximate 2-D iterated map and by numerically integrating the differential equation are compared with the results here.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1989年第11期1874-1881,共8页
Acta Physica Sinica