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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.
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关键词:
- Sprott系统 /
- Lyapunov指数谱 /
- 混沌锁定 /
- 反同步
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:
- Sprott system /
- Lyapunov exponent spectrum /
- chaos lock /
- anti-synchronization
[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] -
[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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