Sprott系统的恒Lyapunov指数谱混沌锁定及其反同步

李春彪; 徐克生; 胡文

doi:10.7498/aps.60.120504

摘要

Sprott系统通过单绝对值项的非线性作用实现混沌,引入新的控制参数,可实现对该系统的恒Lyapunov指数谱混沌锁定,锁定以后的混沌信号幅度与相位可以调节. 基于Lyapunov势函数法,构建了反同步系统,在响应系统中只引入一个控制项,实现了锁定系统的反同步.

关键词:

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:

作者及机构信息

1.
东南大学信息科学与工程学院,南京 210096;

2.
江苏经贸职业技术学院工程技术学院,南京 210007;

3.
广西师范大学物理科学与技术学院,桂林 541004;

4.
南京航空航天大学电子信息工程学院,南京 210016

基金项目: 江苏省博士后科研计划(批准号:1002004C)、江苏省青蓝工程(批准号:200830)、中国博士后科学基金(批准号:2011M500838)、航空科学基金(批准号:2009ZC52038)和江苏经贸职业技术学院科研基金(批准号:JSJM2010002)资助的课题.

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

参考文献

[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]
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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
[27]
[28]	Sprott J C 2000 Phys. Lett. A 266 19
[29]

施引文献

[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]

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