Chaotic beats in a modified Chua's circuit: Dynamic behavior and circuit design

被引：9

作者：

Cafagna, D ^{[1
]}

Grassi, G ^{[1
]}

机构：

[1] Univ Studi Lecce, Dipartimento Ingn Innovaz, Lecce, Italy

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 09期

关键词：

chaotic beats; Chua's circuit; nonlinear dynamics; circuit design;

D O I：

10.1142/S0218127404011181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper illustrates the recent phenomenon of chaotic beats in a modified version of Chua's circuit, driven by two sinusoidal inputs with slightly different frequencies. In order to satisfy the constraints imposed by the beats dynamics, a novel implementation of the voltage-controlled characteristic of the Chua diode is proposed. By using Pspice simulator, the behavior of the designed circuit is analyzed both in time-domain and state-space, confirming the chaotic nature of the phenomenon and the effectiveness of the approach.

引用

页码：3045 / 3064

页数：20

共 17 条

[1]

[Anonymous], 2012, Practical numerical algorithms for chaotic systems

[2] New 3D-scroll attractors in hyperchaotic Chua's circuits forming a ring [J].

Cafagna, D ;

Grassi, G .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (10) :2889-2903

[3]

CHEN G, 2002, WORLD SCI SERIES N B

[4] DESIGNING NON-LINEAR SINGLE OP-AMP CIRCUITS - A COOK-BOOK APPROACH [J].

CHUA, LO ;

AYROM, F .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1985, 13 (03) :235-268

[5] CHUA CIRCUIT 10 YEARS LATER [J].

CHUA, LO .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1994, 22 (04) :279-305

[6] Synthesizing arbitrary driving-point and transfer characteristics [J].

Chua, LO ;

Wu, CW ;

Zhong, GQ ;

Liu, LF .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (12) :1225-1232

[7] Theory and experimental realization of observer-based discrete-time hyperchaos synchronization [J].

Grassi, G ;

Miller, DA .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (03) :373-378

[8] Generation of chaotic beats [J].

Grygiel, K ;

Szlachetka, P .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :635-644

[9] EXPERIMENTAL-STUDY OF FORCED CHUAS OSCILLATOR [J].

ITOH, M ;

MURAKAMI, H ;

CHUA, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (06) :1721-1742

[10] SYNTHESIS OF CONTINUOUS 3-SEGMENT VOLTAGE-CONTROLLED PIECEWISE-LINEAR RESISTORS FOR CHUAS CIRCUIT FAMILY USING OPERATIONAL-AMPLIFIERS, DIODES AND LINEAR RESISTORS [J].

KENNEDY, MP .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1993, 21 (06) :551-558

← 1 2 →