Simulation of chaos in asymmetric nonlinear Chua's circuit

被引：1

作者：

Wang Y.-F. ^{[1
]}

Qiao S.-T. ^{[1
]}

Jiang J.-G. ^{[1
]}

机构：

[1] Department of Electrical Engineering, Shanghai Jiaotong University

来源：

Journal of Shanghai Jiaotong University (Science) | 2008年 / 13 E卷 / 04期

关键词：

Asymmetric nonlinear resistive element; Chaos; Chua's circuit;

D O I：

10.1007/s12204-008-0453-5

中图分类号：

学科分类号：

摘要：

In order to describe practical chaotic systems exactly, we presented a simple modified Chua's circuit, which contains an asymmetric nonlinear resistive element. Mathematical analysis was made, and simulation study was performed by MATLAB. By varying the value of linear resistor in the circuit, rich variety dynamical behaviors were observed, such as DC equilibrium point, Hoof bifurcation, period-doubling bifurcation, single-scroll strange attractor, periodic windows, and asymmetric double-scroll strange attractor. The extreme sensitivity in the state trajectory with respect to the initial conditions was exhibited; the special characteristic of asymmetric nonlinear Chua's circuit was found also.

引用

页码：453 / 456

页数：3

共 16 条

[1]

Matsumoto T., A chaotic attractor from Chua's circuit, IEEE Trans Circuits Syst, 31, 12, pp. 1055-1058, (1984)

[2]

Parker T.S., Chua L.O., The dual double equation, IEEE Trans Circuits Syst, 34, 9, pp. 1059-1073, (1987)

[3]

Kennedy M.P., Three steps to chaos-part II: A Chua's circuit primer, IEEE Trans Circuits Syst, 40, 10, pp. 657-674, (1993)

[4]

Chua L.O., Wu C.W., Huang A., Et al., A universal circuit for studying and generating chaos-part I: Routes to chaos, IEEE Trans Circuits Syst, 40, 10, pp. 732-742, (1993)

[5]

Sharkovsky A.N., Chaos from a time-delayed Chua's circuit, IEEE Trans Circuits Syst, 40, 10, pp. 781-783, (1993)

[6]

Suykens J., Vanderwalle J., Generation of n-xiouble scrolls (n = 1, 2, 3, 4, ⋯), IEEE Trans Circuits Syst, 40, 11, pp. 861-867, (1993)

[7]

Torres L.A.B., Aguirre L.A., Inductor less Chua's circuit, IEE Electro Lett, 36, 23, pp. 1915-1916, (2000)

[8]

Yalcin M.E., Suykens J.A.K., Vandewalle J., Experimental confirmation of 3-and 5-scroll attractors from a generalized Chua's circuit, IEEE Trans Circuits Syst, 47, 3, pp. 425-429, (2000)

[9]

Wang X.F., Zhong G.Q., Tang K.S., Et al., Generating chaos in Chua's circuit via time-delay feedback, IEEE Trans Circuits Syst, 48, 9, pp. 1151-1156, (2001)

[10]

Tang W.K.S., Zhong G.Q., Chen G., Et al., Generating of n-scroll attractors via sine function, IEEE Trans Circuits Syst, 48, 11, pp. 1369-1372, (2001)

← 1 2 →