摘要
本文建立确定非线性动力系统的周期的新方法——后继函数法。通过对无阻尼 Ｄｕｆｆｉｎｇ方程、线性阻尼系统和 Ｖａｎ ｄｅｒ Ｐｏｌ方程实例分析。结果表明该方法计算结果准确且实用性强。本方法不但适用于求解保守系统和具有周期解非线性动力系统的周期。
Successive function method is presented to determine the period of stable non linear dynamic system. The periods of some practical examples are correctly computed with their phase plane diagram well drawn. The results are valid and accurate and the method not only suits for conservative system and non linear dynamic system with limit cycles but also is available for dissipative system.
出处
《振动与冲击》
EI
CSCD
1999年第3期81-84,共4页
Journal of Vibration and Shock
基金
1995 年国家科学成果重点推广项目
关键词
周期
后继函数
矢径向量
非线性动力系统
period, successive function, radius vector, non linear dynamic system
