# 蔡氏電路

(左圖)蔡氏電路。元件NR非綫性負阻特性稱爲蔡氏二極體英语Chua's diode。它通常是由具有正回饋的放大器電路構成。(右圖)蔡氏二極體的電流-電壓特性。

## 混沌标准

1. 一个或者多个的非线性元件
2. 一个或者多个的本地有源电阻
3. 三个或者更多个能量存储元件

## 理论模型

${\displaystyle {\frac {dx}{dt}}=\alpha [y-x-f(x)]}$
${\displaystyle {\frac {dy}{dt}}=x-y+z}$
${\displaystyle {\frac {dz}{dt}}=-\beta y}$

${\displaystyle f(x)=cx(t)+0.5(d-c)(|x(t)+1|-|x(t)-1|)}$

## 参考

1. ^ Matsumoto, Takashi. A Chaotic Attractor from Chua's Circuit (PDF). IEEE Transactions on Circuits and Systems (IEEE). December 1984, CAS–31 (12): 1055–1058 [2008-05-01]. （原始内容存档 (PDF)于2008-05-30）.
2. ^ Madan, Rabinder N. Chua's circuit: a paradigm for chaos. River Edge, N.J.: World Scientific Publishing Company. 1993. ISBN 981-02-1366-2.
3. Kennedy, Michael Peter. Three steps to chaos – Part 1: Evolution (PDF). IEEE Transactions on Circuits and Systems (Institute of Electrical and Electronic Engineers). October 1993, 40 (10): 640 [2020-12-01]. doi:10.1109/81.246140. （原始内容存档 (PDF)于2015-09-23）.
4. ^ Chua, Leon O.; Matsumoto, T., and Komuro, M. The Double Scroll (PDF). IEEE Transactions on Circuits and Systems (IEEE). August 1985, CAS–32 (8): 798–818 [2008-05-01].

## 书籍

• Chaos synchronization in Chua's circuit, Leon O Chua, Berkeley : Electronics Research Laboratory, College of Engineering, University of California, [1992], OCLC: 44107698
• Chua’s Circuit Implementations: Yesterday, Today and Tomorrow,L. Fortuna, M. Frasca, M.G. Xibilia, World Scientific Series on Nonlinear Science, Series A - Vol. 65, 2009, ISBN 978-981-283-924-4