A novel four-wing chaotic attractor generated from a three-dimensional quadratic autonomous system

被引：24

作者：

En-Zeng, Dong ^{[1
]}

Zai-Ping, Chen ^{[1
]}

Zeng-Qiang, Chen ^{[2
]}

Zhu-Zhi, Yuan ^{[2
]}

机构：

[1] Department of Automation, Tianjin University of Technology

[2] Department of Automation, Nankai University

来源：

Chinese Physics B | 2009年 / 18卷 / 07期

关键词：

Bifurcation analysis; Chaos; Chaotic circuit; Four-wing chaotic attractor;

D O I：

10.1088/1674-1056/18/7/010

中图分类号：

学科分类号：

摘要：

This paper presents a new 3D quadratic autonomous chaotic system which contains five system parameters and three quadratic cross-product terms, and the system can generate a single four-wing chaotic attractor with wide parameter ranges. Through theoretical analysis, the Hopf bifurcation processes are proved to arise at certain equilibrium points. Numerical bifurcation analysis shows that the system has many interesting complex dynamical behaviours; the system trajectory can evolve to a chaotic attractor from a periodic orbit or a fixed point as the proper parameter varies. Finally, an analog electronic circuit is designed to physically realize the chaotic system; the existence of four-wing chaotic attractor is verified by the analog circuit realization. © 2009 Chin. Phys. Soc. and IOP Publishing Ltd.

引用

页码：2680 / 2689

页数：9

共 23 条

[1]

Lorenz E.N., J. Atmos. Sci., 20, 2, (1963)

[2]

Li T.Y., Yorke J.A., Am. Math. Monthly, 82, 10, (1975)

[3]

Ott Grebogi E.C., Yorke J.A., Phys. Rev. Lett., 64, 11, (1990)

[4]

Zhang Y.H., Qi G., Liu W.L., Yan Y., Acta Phys. Sin., 55, (2006)

[5]

Chen Z., Yang Y., Qi G.Y., Yuan Z.Z., Phys. Lett., 360, 6, (2007)

[6]

Liu C.X., Acta Phys. Sin., 56, (2007)

[7]

Song Zhao Z.Y.G.Z., Qi D.L., Control Theor. Appl., 24, (2007)

[8]

Chen G.R., Mao Y.B., Chaos, Solitons Fractals, 21, 3, (2004)

[9]

Sun L., Jiang D.P., Acta Phys. Sin., 55, (2006)

[10]

Song Zhao Z.Y.G.Z., Qi D.L., Chin. Phys., 15, 10, (2006)

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