GENERATION OF N-DOUBLE SCROLLS (N = 1, 2, 3, 4, . . .)

被引：326

作者：

SUYKENS, JAK

VANDEWALLE, J

机构：

[1] Katholieke Universiteit Leuven, Department of Electrical Engineering, ESAT-SISTA, Leuven (Heverlee)

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1993年 / 40卷 / 11期

关键词：

CHUAS CIRCUIT; N-DOUBLE SCROLL; BIFURCATIONS;

D O I：

10.1109/81.251829

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Chua's double scroll is probably the best known and most extensively studied example of chaotic behaviour generated by electrical circuits. It is illustrated in this paper that by modifying the characteristic of the nonlinear resistor with additional break points even more ''complicated'' attractors can be obtained, called n-double scrolls (n=1,2,3,4,...). The new circuit can be seen as a generalization of Chua's circuit such that the 1-double scroll corresponds to the classical double scroll. The construction of the attractors was partially based on a combination of linearization around equilibrium points and an alternative method for studying nonlinear systems that we called a quasilinear approach. This method is heuristic and qualitative but may give additional global insight into the state space behaviour and may open new views towards the construction of attractors.

引用

页码：861 / 867

页数：7

共 10 条

[1]

CHAU LO, 1993, IEICE T FUNDAMENTA A, V76, P704

[2]

CHUA LO, 1992, AEU-INT J ELECTRON C, V46, P250

[3] 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

[4]

Guckenheimer J, 2013, NONLINEAR OSCILLATIO, V42

[5]

Hirsch MW., 1974, DIFF EQUAT+

[6]

MADAN RN, 1993, CIRCUITS SYST COMP 1, V3

[7]

MADAN RN, 1993, CIRCUITS SYST COMP 2, V3

[8]

Narendra K. S., 1973, FREQUENCY DOMAIN CRI

[9] CHAOS - A TUTORIAL FOR ENGINEERS [J].

PARKER, TS ;

CHUA, LO .

PROCEEDINGS OF THE IEEE, 1987, 75 (08) :982-1008

[10] QUASI-LINEAR APPROACH TO NONLINEAR-SYSTEMS AND THE DESIGN OF N-DOUBLE SCROLL (N = 1, 2, 3, 4, ...) [J].

SUYKENS, J ;

VANDEWALLE, J .

IEE PROCEEDINGS-G CIRCUITS DEVICES AND SYSTEMS, 1991, 138 (05) :595-603

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