摘要
本文提出了分析高阶非线性系统分谐波振荡的一种符号算法和一种图解法。这两种分析方法均适用于非线性函数为f(x)=ax-bx^3的情况,而图解法也适于f(x)为五次多项式的情况,且可用来确定多解系统的全部周期解。文末给出一个具有6个解的例子。
A symbolic algorithm and a graphical method are presented for analyzing sub-harmonic oscillations in nonlinear high-order systems.The two approaches are appliable to the systems with a nonlinear function f(x)=ax-bx3.The graphical method is useful for analyzing the systems with a five-order polynomial nonlinearity and for obtaining the multiple solutions of a nonlinear system.An example with six solutions is also given.
出处
《电子学报》
EI
CAS
CSCD
北大核心
1993年第7期54-60,共7页
Acta Electronica Sinica
关键词
非线性系统
符号算法
图解法
分谐波振荡
Subharmonic oscillations Nonlinear [systems,Symbolic algorithm,Graphical method,Multiple solutions