摘要
基于分解法原理,建立了一类非线性动态系统周期解的逆算符表达的递推算法,并利用Mathematica计算机代数语言开发出相应的软件系统,实现了该算法的计算机自动求解。给出了计算实例,并将算法所得结果与四阶龙格库塔数值方法的计算结果作了比较。实际计算结果表明,该算法具有较高的计算精度和较大的普适性,是求解一类非线性动态电路周期解的有效方法。
Based on the principle of the decomposition method, the inverse operator expression of the periodic solutions for some nonlinear dynamic systems is given. The automatic calculation of this arithmetic is realized via computer program in Mathematica language. The examples of practical calculation are also presented and the calculation results obtained by this method are compared with those of the Runge-Kutta method. The calculation results show that this approach has the advantages of high accuracy and wide application, so it is an effective tool to calculate some type of nonlinear dynamic circuits.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2005年第6期1000-1002,共3页
Systems Engineering and Electronics
关键词
非线性电路
周期解
分解法
nonlinear circuit
periodic solution
decomposition method
