一种基于误差系统稳定性的混沌广义同步方法

朱志良; 李淑萍; 于海

doi:10.3724/SP.J.1146.2007.00935

一种基于误差系统稳定性的混沌广义同步方法

doi: 10.3724/SP.J.1146.2007.00935

朱志良^{① 李淑萍,},
李淑萍,
于海

基金项目:

教育部博士学科点专项科研基金(2003145130)及辽宁省自然科学基金(20062023)资助课题

计量
- 文章访问数: 3092
- HTML全文浏览量: 90
- PDF下载量: 880
- 被引次数: 0
出版历程
- 收稿日期: 2007-06-11
- 修回日期: 2007-12-12
- 刊出日期: 2008-12-19

A Method of Chaotic Generalized Synchronization with the Stability of Error System

Zhu Zhi-Liang^{① 李淑萍
,},
Li Shu-Ping,
Yu Hai

摘要

摘要: 该文在将混沌系统分为线性与非线性两部分的基础上，利用反馈控制及参数变换，提出了一种新的混沌广义同步方法。该方法基于线性变换，把系统广义同步问题转化为同步误差系统的稳定性问题，并给出了广义同步存在的条件。该方法可以通过配置同步速度，改善混沌广义同步的性能。且不受混沌系统线性部分稳定性的限制，扩大了混沌广义同步的通用性。通过对Lorenz系统进行仿真，结果表明该方法具有很好的适用性。
- 混沌系统 /
- 极点配置 /
- 广义同步 /
- 同步速度
Abstract: When the chaotic systems are divided into linear and nonlinear parts, a new approach is presented to realize generalized synchronization of chaotic systems, by using feedback control and parameter commutation. Based on linear transform, the question of generalized synchronization system can be transformed into the stability question of synchronous error system, and the existence condition of GS has been given. Furthermore, favorable performance of generalized synchronization can be improved according to configuration of GS velocity。Expansive generalization can be acquired, without a limit of stability of linear part of the chaotic system. The Lorenz system is taken for illustration and verification，and the results of the simulation indicated that the method is provided of favorable applicability.
- C /
- h /
- a

HTML全文

参考文献(1)

[1] Pecora M and Carroll L. Synchronization in chaotic systems[J].Phys. Rev. Lett.1990, 64(8):821-823 [2] Elabbasy E M, Agiza H N, and El-Dessoky M M. Controllingand synchronization of Rossler system with uncertainparameters [J]. International Journal of Nonlinear Sciencesand Numerical Simulation, 2005, 5(2): 171-181. [3] 黄丽蒂, 姚婷妤, 赵文艳. 混沌系统的自适应变结构同步及其在保密通信中的应用[J]. 电路与系统学报, 2006, 11(2): 103-106.Huang Li-di, Yao Ting-yu, and Zhao Wen-yan. Adaptivevariable structure synchronization of chaotic systems and itsapplication to secure communications[J]. Journal of Circuitsand Systems, 2006, 11(2): 103-106. [4] 朱灿焰, 郑毓蕃. 一种可逆非线性混沌保密通信系统研究[J].电子与信息学报.2006, 28(4):721-727浏览 [5] 方锦清. 非线性系统中混沌控制方法、同步原理及其应用前景(二)[J]. 物理学进展, 1996, 16(2): 174-176.Fang Jin-qing. Control and synchronization of chaos innonlinear systems and prospects for application( Ⅱ )[J].Progress in Physics, 1996, 16(2): 174-176. [6] 方锦清. 驾驭混沌与发展高新技术[M]. 北京: 原子能出版社,2002: 89-95.Fang Jin-qing. Rein Chaos and Develop the New Technology[M]. Beijing: Atomic energy press, 2002. [7] Pecora M and Carroll L. Driving systems with chaoticsignals[J].Phys. Rev. A.2001, 44(4):2374-2383 [8] Carroll L and Pesora M. Synchronizing chaotic circuits[J].IEEE Trans. on CAS, 2001, 38(4): 453-456. [9] 张平伟, 唐国宁, 罗晓曙. 双向耦合混沌系统广义同步[J]. 物理学学报, 2005, 54(8): 3497-3501.Zhang Ping-wei, Tang Guo-ning, and Luo Xiao-shu.Generalized synchronization of bidirectionally coupled chaossystems [J]. Acta Physica Sinica, 2005, 54(8): 3497-3501. [10] Kapitaniak T. Experimental synchronization of chaos usingcontinuous control[J]. Int J. Bifurc. Chaos, 2004, 4(2):483-488. [11] Yang T and Chua L O. Generalized synchronization of chaosvia linear transformations[J].Int J. Bifurc. Chaos.1999, 9(1):215-219 [12] 高远, 翁甲强, 罗晓曙. 超混沌电路的广义同步[J]. 电子与信息学报, 2002, 6(24): 855-959.Gao Yuan, Weng Jia-jiang, and Luo Xiao-shu. Generalizedsynchronization of hyerchaotic circuit[J]. Journal ofElectronics Information Technology, 2002, 6(24): 855 -959. [13] Lorenz E N. Deterministic Nonperiodic Flow[J].Journal ofAtmosphere Science.1963, 20(1):130-141

施引文献

资源附件(0)

访问统计