A new hyperchaotic system and its adaptive tracking control

Li Chun-Lai; Yu Si-Min

doi:10.7498/aps.61.040504

Abstract

In this paper, a four-dimensional hyperchaotic system is constructed by adding a state feedback controller into a chaotic system. Numerical simulations and theoretical analysis show that this four-dimensional system will take on periodic,complex periodic, quasi-periodic chaotic hyperchaotic dynamical behaviours as parameters vary. Moreover, an electronic circuit diagram is designed for demonstrating the existence of the hyperchaos. Finally, an adaptive tracking controller is proposed to acquire adaptive tracking control for this hyperchaotic system.

Keywords:

Authors and contacts

Li Chun-Lai^1,2,
Yu Si-Min¹

1.
College of Automation,Guangdong University of Technology, Guangzhou 510006, China;
2.
College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
Funds: Project supported by the National Natural Science Foundation of China(Grant Nos.60572073,60871025), and the Natural Science Foundation of Guangdong Province(Grant Nos.8151009001000060, 8351009001000002).

References

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[2]	Chua L O, Komuro M, Matsumoto T 1986 IEEE Trans. CAS 33 1072
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[10]	Yang Q G, Chen G R 2008 Internat. J. Bifur. Chaos 18 1393
[11]	Liu C X, Liu T, Liu K, Liu L 2004 Chaos,Solitons Fract. 22 1031

Cited By

[1]	Lorenz E N 1963 J. Atmospheric Sci. 20 130
[2]	Chua L O, Komuro M, Matsumoto T 1986 IEEE Trans. CAS 33 1072
[3]	Chen G R, Ueta T 1999 Internat. J. Bifur. Chaos 9 1465
[4]	Lü J H, Chen G R 2002 Intenat. J. Bifur. Chaos 12 695
[5]	Liu C X, Liu L 2009 Chin. Phys. B 18 2188
[6]	Zhou P, Wei L, Cheng X 2009 Chin. Phys. B 18 2674
[7]	Si G Q, Cao H, Zhang Y B 2011 Chin. Phys. B 20 010509
[8]	Jia L X, Dai H, Hui M 2010 Chin. Phys. B 19 100501
[9]	Bao B C, Liu Z, Xu J P and Zhu L 2010 Acta Phys. Sin. 59 1540 (in Chinese) [包伯成, 刘中, 许建平, 朱雷 2010 物理学报 59 1540]
[10]	Yang Q G, Chen G R 2008 Internat. J. Bifur. Chaos 18 1393
[11]	Liu C X, Liu T, Liu K, Liu L 2004 Chaos,Solitons Fract. 22 1031

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Catalog

Vol. 61, Issue 4 - 2012-02-20

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