A fast and simple implementation of Chua's oscillator with cubic-like nonlinearity

被引:48
作者
O'Donoghue, K [1 ]
Kennedy, MP
Forbes, P
Qu, M
Jones, S
机构
[1] Univ Coll Cork, Enterprise Ctr, Dept Microelect Engn, Cork, Ireland
[2] Analog Devices Inc, Limerick, Ireland
[3] Cypress Semicond Inc, Cork, Ireland
[4] St Peters Commun Sch, Cork, Ireland
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 09期
关键词
chaos; Chua's oscillator; Chua's circuit; cubic nonlinearity;
D O I
10.1142/S0218127405013800
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The nonlinearity in Chua's oscillator is commonly implemented as a three-segment piecewise-linear resistor. The piecewise-linear nature of the element means that the implementation requires a significant amount of circuitry and the speed of operation is limited. The qualitative behavior of Chua's oscillator has also been captured using a smooth cubic nonlinearity; the implementation of the latter also requires a significant amount of circuitry and suffers from limited speed of operation. This work describes a novel implementation of Chua's oscillator using just four transistors and a battery to produce a cubic-like nonlinearity. The circuit is simple, robust, and capable of operating at frequencies over one thousand times greater than the original Chua's oscillator.
引用
收藏
页码:2959 / 2971
页数:13
相关论文
共 11 条
[1]   THE DOUBLE SCROLL FAMILY .1. RIGOROUS PROOF OF CHAOS [J].
CHUA, LO ;
KOMURO, M ;
MATSUMOTO, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11) :1072-1097
[2]   3 STEPS TO CHAOS .1. EVOLUTION [J].
KENNEDY, MP .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (10) :640-656
[3]  
KENNEDY MP, 1992, FREQUENZ, V46, P66, DOI 10.1515/FREQ.1992.46.3-4.66
[4]   3 STEPS TO CHAOS .2. A CHUA CIRCUIT PRIMER [J].
KENNEDY, MP .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (10) :657-674
[5]   EXPERIMENTAL CHAOS FROM AUTONOMOUS ELECTRONIC-CIRCUITS [J].
KENNEDY, MP .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1995, 353 (1701) :13-32
[6]  
KENNEDY MP, 1993, CHUAS CIRCUIT PARADI, P1042
[7]   A CHAOTIC ATTRACTOR FROM CHUA CIRCUIT [J].
MATSUMOTO, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1984, 31 (12) :1055-1058
[8]   THE DOUBLE SCROLL [J].
MATSUMOTO, T ;
CHUA, LO ;
KOMURO, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (08) :797-818
[9]  
Sedra AS., 1998, MICROELECTRONIC CIRC
[10]   IMPLEMENTATION OF CHUAS CIRCUIT WITH A CUBIC NONLINEARITY [J].
ZHONG, GQ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (12) :934-941