Circuit design as implementation of four dimensional hyper-chaos and its projective synchronization

被引：2

作者：

Liu M.-H. ^{[1
,2
]}

Feng J.-C. ^{[1
,3
]}

机构：

[1] School of Electronic and Information Engineering, South China University of Technology

[2] College of Mathematics and Physics, Jinggangshan University, Ji'an 343009, Jiangxi Province

[3] Guangzhou Auto College, South China University of Technology

来源：

Yingyong Kexue Xuebao/Journal of Applied Sciences | 2010年 / 28卷 / 04期

关键词：

Circuit experiment; Hyperchaos; Lyapunov exponent; Projective synchronization;

D O I：

10.3969/j.issn.0255-8297.2010.04.013

中图分类号：

学科分类号：

摘要：

We obtain a four-dimensional system by adding a nonlinear state feedback controller to a three-dimensional chaotic system. The dynamical behaviors of this 4D system are investigated, including the Lyapunov exponent spectrum and bifurcation diagram. The results show that it is a 4D hyperchaotic system with two positive Lyapunov exponents. Projective synchronization for the 4D hyperchaotic system is realized based on the stability criterion of linear systems. An electronic circuit is designed and implemented with projective synchronization of the 4D hyperchaotic system. The circuit consists of four parts: anti-adders, integrators, inverters and multipliers. Experimental observations are in agreement with numerical simulations.

引用

页码：406 / 412

页数：6

共 20 条

[1]

Rossler O.E., An equation for hyperchaos, Physics Letters A, 71, 2-3, pp. 155-157, (1979)

[2]

Pecora L., Hyperchaos harnessed, Physics World, 9, (1996)

[3]

Peng J.H., Ding E.J., Ding M., Yang W., Synchronizing hyperchaos with a scalar transmitted signal, Physical Review Letters, 76, 6, pp. 904-907, (1996)

[4]

Thamilmaran K., Lakshmanan M., Venkatesan A., Hyperchaos in a modified canonical Chua's circuit, International Journal of Bifurcation and Chaos, 14, 1, pp. 221-243, (2004)

[5]

Matsumoto T., Chua L.O., Kobayashi K., Hyperchaos: Laboratory experiment and numerical confirmation, IEEE Transactions on Circuits and Systems, 33, 11, pp. 1143-1147, (1986)

[6]

Li Y., Chen G., Tang W.K.S., Controlling a unified chaotic system to hyperchaotic, IEEE Transactions on Circuits and Systems II, 52, 4, pp. 204-207, (2005)

[7]

Li Y., Tang W.K.S., Chen G., Generating hyperchaos via state feedback control, International Journal of Bifurcation and Chaos, 15, 10, pp. 3367-3375, (2005)

[8]

Chen A., Lu J., Lu J., Yu S., Generating hyperchaotic Lü attractor via state feedback control, Physica A, 364, pp. 103-110, (2006)

[9]

Barboza R., Dynamics of a hyperchaotic Lorenz system, International Journal of Bifurcation and Chaos, 17, 12, pp. 4285-4294, (2007)

[10]

Wang X., Wang M., Hyperchaotic Lorenz system, Acta Physica Sinica, 56, 9, pp. 5136-5141, (2007)

← 1 2 →