图解HOPF定理在非线性振荡电路中的应用  

Application of HOPF Bifurcation Theorem by Using Graph in Nonlinear Oscillation Circuits

作　　者：李义府[1] 李文华[2] 彭卫韶[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083 [2]第一军医大学生物医学工程系,广东广州510515

出　　处：《吉首大学学报（自然科学版）》2004年第2期62-65,共4页Journal of Jishou University(Natural Sciences Edition)

摘　　要：利用HOPF分叉定理时域形式的综合参数曲率系数σ0 与二维系统中的局部形式判断振荡 ,必须进行大量的数值计算 .利用图解HOPF定理算法 ,通过一系列步骤的图解可避免这个问题 。By using coefficient of curvature of HOPF bifurcation theorem,in time domain is derived,and the local type of two-dimension system of the theorem to judge the oscillation,a new method of analyzing the oscillation of electronic circuits is provided.But the new means of analyzing have to include value computing.This article uses the arithmetic of the HOPF bifurcation theorem by using graph.A series of graphes can avoid a great deal of computing,easily settle the question of the oscillation of nonlinear circuit and provide another means of analyzing the oscillation of electronic circuits.

关 键 词：图解HOPF定理 非线性振荡电路 轨迹 频域 Niquist判据 

分 类 号：TN79[电子电信—电路与系统]