Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization

Li Chun-Biao; Xu Ke-Sheng; Hu Wen

doi:10.7498/aps.60.120504

Abstract

Chaos realization in Sprott system depends on the nonlinear function of single absolute term. Under this condition, the chaos in the system is locked with constant Lyapunov exponent spectrum by introducing new control parameters. So the amplitude and the phase of the signal output in the system can be controlled and modulated. Anti-synchronization system is constructed, and anti-synchronization is obtained by introducing only one control term in the response system based on Lyapunov potential function method.

Keywords:

Authors and contacts

1.
School of Information Science and Engineering, Southeast University, Nanjing 210096, China;
2.
School of Engineering Technology, Jiangsu Institute of Economic and Trade Technology, Nanjing 210007, China;
3.
School of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
4.
College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

References

[1]	Hu W, Liu Z, Li C B 2008 IEEE Trans. Aeros. Electron. Syst. 44 367
[2]	Liu Z, Zhu X H, Hu W 2007 Int. J. Bifur. Chaos 17 1735
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[11]	L J, Chen G 2002 Int. J. Bifur. Chaos 12 659
[12]	L J, Chen G, Zhang S 2002 Int. J. Bifur. Chaos 12 1001
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[15]	L J, Chen G, Cheng D 2004 Int. J. Bifur. Chaos 14 1507
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[17]	Li N, Li J F 2008 Acta Phys. Sin. 57 6093 (in Chinese)[李农、李建芬 2008 物理学报 57 6093]
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[22]	Li C B, Wang D C 2009 Acta Phys. Sin. 58 764 (in Chinese)[李春彪、王德纯 2009 物理学报 58 764]
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[24]	Li C B, Chen S, Zhu H Q 2009 Acta Phys. Sin. 58 2255 (in Chinese)[李春彪、陈谡、朱焕强 2009 物理学报 58 2255]
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[26]	Sprott J C 2000 Am. J. Phys. 68 758
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[28]	Sprott J C 2000 Phys. Lett. A 266 19
[29]

Cited By

[1]	Hu W, Liu Z, Li C B 2008 IEEE Trans. Aeros. Electron. Syst. 44 367
[2]	Liu Z, Zhu X H, Hu W 2007 Int. J. Bifur. Chaos 17 1735
[3]
[4]	Kolumban G, Kennedy M P, Chua L O 2002 IEEE Trans. Circuits Syst. Ⅰ 45 1129
[5]
[6]
[7]	Pecora L M 1990 Phys. Rev. Lett. 64 821
[8]	Zhong G Q, Tang K S 2002 Int. J. Bifur. Chaos 12 1423
[9]
[10]
[11]	L J, Chen G 2002 Int. J. Bifur. Chaos 12 659
[12]	L J, Chen G, Zhang S 2002 Int. J. Bifur. Chaos 12 1001
[13]
[14]
[15]	L J, Chen G, Cheng D 2004 Int. J. Bifur. Chaos 14 1507
[16]
[17]	Li N, Li J F 2008 Acta Phys. Sin. 57 6093 (in Chinese)[李农、李建芬 2008 物理学报 57 6093]
[18]	Wang X Y, Wang M J 2007 Acta Phys. Sin. 56 6843 (in Chinese)[王兴元、王明军 2007 物理学报 56 6843]
[19]
[20]
[21]	Liu D, Xu W, Guo P R, Ni F 2010 Acta Phys. Sin. 59 5934 (in Chinese)[刘迪、徐伟、郭培荣、倪菲 2010 物理学报 59 5934]
[22]	Li C B, Wang D C 2009 Acta Phys. Sin. 58 764 (in Chinese)[李春彪、王德纯 2009 物理学报 58 764]
[23]
[24]	Li C B, Chen S, Zhu H Q 2009 Acta Phys. Sin. 58 2255 (in Chinese)[李春彪、陈谡、朱焕强 2009 物理学报 58 2255]
[25]
[26]	Sprott J C 2000 Am. J. Phys. 68 758
[27]
[28]	Sprott J C 2000 Phys. Lett. A 266 19
[29]

Catalog

Vol. 60, Issue 12 - 2011-06-20

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