图解HOPF 定理在非线性振荡电路中的应用

journal6 ›› 2004, Vol. 25 ›› Issue (2): 62-65.

图解HOPF 定理在非线性振荡电路中的应用

( 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)

出版日期:2004-06-15 发布日期:2012-11-06
作者简介:李义府( 1946- ) , 男, 湖南省长沙市人, 中南大学信息科学与工程学院教授, 主要从事电子技术理论与应用研究.

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

( 1. Information Science and Engineering, Central South University, Changsha 410083, China; 2. Department of Biomedical Engineering, First Military Medical University , Guangzhou 510515, China)

Online:2004-06-15 Published:2012-11-06

摘要/Abstract

摘要：利用HOPF 分叉定理时域形式的综合参数曲率系数0 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, 能较快地解决非线性系统的振荡问题.

关键词： 轨迹, 频域, Niquist 判据, 图解HOPF 算法

Abstract: 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 oscillat ion, a new method of analyzing the oscillation of electronic circuits is provided. But the new means of analyzing have to include value comput ing. This article uses the arithmetic of the HOPF bifurcat ion theorem by using graph.A series of graphes can avoid a great deal of comput ing, easily settle the
question of the oscillat ion of nonlinear circuit and provide another means of analyzing the oscillat ion of electronic circuits.

Key words: locus, frequency domain, Niquist criterion, the algorithm of the HOPF bifurcation theorem by using graph

李义府, 李文华, 彭卫韶. 图解HOPF 定理在非线性振荡电路中的应用[J]. journal6, 2004, 25(2): 62-65.

LI Yi-Fu, LI Wen-Hua, PENG Wei-Shao. Application of HOPF Bifurcation Theorem by Using Graph in Nonlinear Oscillation Circuits[J]. journal6, 2004, 25(2): 62-65.