| 图解HOPF 定理在非线性振荡电路中的应用 |
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| 引用本文： | 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].吉首大学学报(自然科学版),2004,25(2):62-65. |
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| 作者姓名： | 李义府 李文华 彭卫韶 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 轨迹 频域 Niquist 判据 图解HOPF 算法 |
| 文章编号： | 1007-2985(2004)02-0062-04 |
| 修稿时间： | 2003年11月1日 |
Application of HOPF Bifurcation Theorem by Using Graph in Nonlinear Oscillation Circuits |
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| LI Yi-fu,LI Wen-hua,PENG Wei-shao.Application of HOPF Bifurcation Theorem by Using Graph in Nonlinear Oscillation Circuits[J].Journal of Jishou University(Natural Science Edition),2004,25(2):62-65. |
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| Authors: | LI Yi-fu LI Wen-hua PENG Wei-shao |
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| Institution: | ( 1. Information Science and Engineering, Central South University, Changsha 410083, China; 2. Department of Biomedical Engineering, First Military Medical University , Guangzhou 510515, China) |
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| 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 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. |
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| Keywords: | locus frequency domain Niquist criterion the algorithm of the HOPF bifurcation theorem by using graph |
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