N个异结构混沌系统的环链耦合同步

刘艳; 吕翎

N个异结构混沌系统的环链耦合同步

刘艳,
吕翎

辽宁师范大学物理与电子技术学院,辽宁大连 116029

基金项目: 辽宁省自然科学基金资助项目(20052151);辽宁省教育厅创新团队计划资助项目

详细信息

作者简介:
刘艳(1981- ),女,河南人,硕士;吕翎,教授(联系人.Tel:+86-411-84902261;E-mail:luling1960@yahoo.com.cn).

中图分类号: O415.5
计量
- 文章访问数: 2697
- HTML全文浏览量: 110
- PDF下载量: 654
- 被引次数: 0
出版历程
- 收稿日期: 2007-12-19
- 修回日期: 2008-08-25
- 刊出日期: 2008-10-15

Synchronization of N Different Coupled Chaotic Systems With Ring and Chain Connections

LIU Yan,
LÜ Ling

College of Physics and Electronic Technology, Liaoning Normal University, Dalian, Liaoning 116029, P. R. China

摘要

摘要: 提出了一种通过环链耦合实现N个异结构混沌系统同步的方法．以New系统、Chen系统、Lü系统、Lorenz系统和Rssler系统作为典型的例子，验证了这种同步控制方法的有效性．利用Liapunov稳定性定理，构造控制器的具体形式，并确定了耦合系数的取值范围．仿真模拟结果表明，在控制器的作用下，选择适当的耦合系数值，可以同时使N个异结构混沌系统达到完全同步．
- 混沌同步 /
- Liapunov稳定性定理 /
- 环链耦合 /
- 异结构系统 /
- 耦合系数
Abstract: The synchronization of N different coupled chaotic systems with ring and chain connections is investigated.The New system,the Chen system,the L system,the Lorenz system and the Rêssler system were taken as examples to verify the effectiveness of the method.Based on Liapunov stability theory,the form of controller was designed and the area of coupling coefficients were determined.Artificial simulations indicate that the global synchronization of the N different chaotic systems can be realized by choosing appropriate coupling coefficients under the function of controller.
- chaos synchronization /
- Liapunov stability theory /
- coupling with ring and chain connection /
- different chaotic systems /
- coupling coefficient

HTML全文

参考文献(29)

[1]	Pecora L M, Carroll T L. Synchronization in chaotic systems[J].Phys Rev Lett,1990,64(8):821-824. doi: 10.1103/PhysRevLett.64.821
[2]	Yassen M T. Chaos synchronization between two different chaotic systems using active control[J].Chaos, Solitons and Fractals,2005,23(1): 131-140. doi: 10.1016/j.chaos.2004.03.038
[3]	Chen H K. Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü[J].Chaos, Solitons and Fractals,2005,25(5):1049-1056. doi: 10.1016/j.chaos.2004.11.032
[4]	Park J H. Chaos synchronization between two different chaotic dynamical systems[J].Chaos, Solitons and Fractals,2006,27(2):549-554. doi: 10.1016/j.chaos.2005.03.049
[5]	Elabbasy E M, Agiza H N, El-Dessoky M M,et al.Adaptive synchronization of Lü system with uncertain parameters[J].Chaos, Solitons and Fractals,2004,21(3):657-667. doi: 10.1016/j.chaos.2003.12.028
[6]	Park J H. Adaptive synchronization of Rossler system with uncertain parameters[J].Chaos, Solitons and Fractals,2005,25(2):333-338. doi: 10.1016/j.chaos.2004.12.007
[7]	Park J H. Adaptive synchronization of hyperchaotic Chen system with uncertain parameters[J].Chaos, Solitons and Fractals,2005,26(3):959-964. doi: 10.1016/j.chaos.2005.02.002
[8]	Yu Y G, Zhang S C. Adaptive backstepping synchronization of uncertain chaotic system[J].Chaos, Solitons and Fractals,2004,21(3):643-649. doi: 10.1016/j.chaos.2003.12.067
[9]	Yassen M T. Adaptive chaos control and synchronization for uncertain new chaotic dynamical system[J].Phys Lett A,2006,350(1):36-43. doi: 10.1016/j.physleta.2005.09.076
[10]	Huang L L, Feng R P, Wang M,et al.Synchronization of chaotic systems via nonlinear control[J].Phys Lett A,2004,320(4):271-275. doi: 10.1016/j.physleta.2003.11.027
[11]	Yue L J, Shen K. Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback[J].Chin Phys,2005,14(9):1760-1765. doi: 10.1088/1009-1963/14/9/012
[12]	Yassen M T. Controlling chaos and synchronization for new chaotic system using linear feedback control[J].Chaos, Solitons and Fractals,2005,26(3):913-920. doi: 10.1016/j.chaos.2005.01.047
[13]	Chen H K. Global chaos synchronization of new chaotic systems via nonlinear control[J].Chaos, Solitons and Fractals,2005,23(4):1245-1251.
[14]	Park J H. Chaos synchronization of a chaotic system via nonlinear control[J].Chaos, Solitons and Fractals,2005,25(3):579-584. doi: 10.1016/j.chaos.2004.11.038
[15]	Park J H. On synchronization of unified chaotic systems via nonlinear control[J].Chaos, Solitons and Fractals,2005,25(3): 699-704. doi: 10.1016/j.chaos.2004.11.031
[16]	Lü J H, Zhou T S, Zhou S C.Chaos synchronization between two different chaotic systems[J].Chaos, Solitions and Fractals,2002,14(4):529-541. doi: 10.1016/S0960-0779(02)00005-X
[17]	Yu Y G, Zhang S. The synchronization of linearly bidirectional coupled chaotic systems[J].Chaos, Solitions and Fractals,2004,22(1): 189-197. doi: 10.1016/j.chaos.2003.12.088
[18]	Park J H. Stability criterion for synchronization of linearly coupled unified chaotic systems[J].Chaos, Solitions and Fractals,2005,23(4):1319-1325.
[19]	Ge Z M, Chen Y S. Adaptive synchronization of unidirectional and mutual coupled chaotic systems[J].Chaos, Solitions and Fractals,2005,26(3):881-888. doi: 10.1016/j.chaos.2005.01.052
[20]	Wang J, Deng B, Tsang K M. Chaotic synchronization of neurons coupled with gap junction under external electrical stimulation[J].Chaos, Solitons and Fractals,2004,22(2):469-476. doi: 10.1016/j.chaos.2004.02.029
[21]	Haken H.Synchronization and pattern recognition in a pulse-coupled neural net[J].Physica D,2005,205(1): 1-6. doi: 10.1016/j.physd.2005.04.010
[22]	Yue L J,Shen K. Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback[J].Chin Phys,2005,14(9):1760-1765. doi: 10.1088/1009-1963/14/9/012
[23]	Zou Y L, Zhu J, Chen G R,et al.Chaotic coupling synchronization of hyperchaotic oscillators[J].Chin Phys,2005,14(4):697-702. doi: 10.1088/1009-1963/14/4/010
[24]	Huang L L, Wang M, Feng R P.Synchronization of generalized Henon map via backstepping design[J].Chaos, Solitons and Fractals,2005,23(2):617-620. doi: 10.1016/j.chaos.2004.05.014
[25]	Liu S T, Chen G R. Nonlinear feedback-controlled generalized synchronization of spatial chaos[J].Chaos, Solitons and Fractals,2004,22(1):35-46. doi: 10.1016/j.chaos.2003.12.024
[26]	Wang Y W, Guan Z H. Generalized synchronization of continuous chaotic system[J].Chaos, Solitons and Fractals,2006,27(1):97-101. doi: 10.1016/j.chaos.2004.12.038
[27]	Zou Y L, Zhu J. Controlling projective synchronization in coupled chaotic systems[J].Chin Phys,2006,15(9): 1965-1970. doi: 10.1088/1009-1963/15/9/011
[28]	Yan J P, Li C P. Generalized projective synchronization of a unified chaotic system[J].Chaos, Solitons and Fractals,2005,26(4):1119-1124. doi: 10.1016/j.chaos.2005.02.034
[29]	Wen G L,Xu D L.Nonlinear observer control for full-state projective synchronization in chaotic continuous- time systems[J].Chaos, Solitons and Fractals,2005,26(1):71-77. doi: 10.1016/j.chaos.2004.09.117

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2697
HTML全文浏览量: 110
PDF下载量: 654
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

N个异结构混沌系统的环链耦合同步

作者简介:
刘艳(1981- ),女,河南人,硕士;吕翎,教授(联系人.Tel:+86-411-84902261;E-mail:luling1960@yahoo.com.cn).

计量

Synchronization of N Different Coupled Chaotic Systems With Ring and Chain Connections

计量

目录

留言板

N个异结构混沌系统的环链耦合同步

作者简介: 刘艳(1981- ),女,河南人,硕士;吕翎,教授(联系人.Tel:+86-411-84902261;E-mail:luling1960@yahoo.com.cn).

计量

出版历程

Synchronization of N Different Coupled Chaotic Systems With Ring and Chain Connections

计量

出版历程

目录

作者简介:
刘艳(1981- ),女,河南人,硕士;吕翎,教授(联系人.Tel:+86-411-84902261;E-mail:luling1960@yahoo.com.cn).