Determination of Bifurcation Boundaries in Chua’s Circuit

Huang An-shan

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Determination of Bifurcation Boundaries in Chua’s Circuit

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- Determination of Bifurcation Boundaries in Chua’s Circuit
- Acta Electronica Sinica Issue 2, Pages: 121-122(1990)
- 作者机构：
  
  上海机械学院
- 作者简介：
- 基金信息：
- DOI：
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- Published：1990
- 稿件说明：
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[1]黄安山.蔡氏电路分支(叉)边界的确定[J].电子学报,1990(02):121-122.

Huang An-shan. Determination of Bifurcation Boundaries in Chua’s Circuit[J]. Acta Electronica Sinica, 1990, (2): 121-122.
[1]黄安山.蔡氏电路分支(叉)边界的确定[J].电子学报,1990(02):121-122. DOI：

Huang An-shan. Determination of Bifurcation Boundaries in Chua’s Circuit[J]. Acta Electronica Sinica, 1990, (2): 121-122. DOI：

摘要

本文导出了蔡氏电路中稳定区域和分叉参数G或C

之间的数学关系

并且发现当α

1（G分叉）或β

1（C

分叉）时不稳定现象（包括混沌振荡在内）消失

从而达到了研究混沌电路的目的之一——确定分支和混沌消失时的边界。

Abstract

A general mathematical expression between stability sectors and changes of the bifurcation parameters G and C1 in Chua’s Circuit has been derived. It has been found that chaotic oscillations disappear when α<1 at G-bifurcation and when β<1 at C1-bifurcation. Thus one of the goals of investigating chaotic circuit （i. e. determining failure boundaries） is obtained.

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