异构超混沌广义同步系统构造及其电路仿真

J4 ›› 2014, Vol. 36 ›› Issue (03): 551-557.

异构超混沌广义同步系统构造及其电路仿真

张小红，周勇飞

（江西理工大学信息工程学院，江西赣州 341000）

收稿日期:2012-09-20 修回日期:2012-11-30 出版日期:2014-03-25 发布日期:2014-03-25
基金资助:
国家自然科学基金资助项目（11062002）；江西省自然科学基金资助项目（2010GZS0083）；江西省教育厅科技项目（GJJ11470）

Generalized synchronization system construction of
heterogeneous hyperchaotic and its circuit simulation

ZHANG Xiaohong,ZHOU Yongfei

(School of Information Engineering，Jiangxi University of Science and Technology，Ganzhou 341000,China)

Received:2012-09-20 Revised:2012-11-30 Online:2014-03-25 Published:2014-03-25

摘要/Abstract

摘要：

在三维新混沌Chen系统基础上构建了一个四维超混沌系统。根据Lyapunov稳定性原理，采用自适应控制方法，在新构建的四维超混沌系统和四维超混沌Chen系统之间设计广义同步控制器，对控制器中的变量参数估计值和外部参数值进行广义同步实现的可行性进行讨论，进而将异构系统的广义同步问题转换为对控制器的选择。通过对不同参数估计值的比较分析得出合适的取值，达到了良好的广义同步效果。最后设计了一种实现广义混沌同步的基本电路原理图，数值仿真和电路实验结果表明了该方法的有效性，以及电路的可行性和实用性。

关键词: 超混沌系统, 参数对比, 广义同步, 电路仿真

Abstract:

A fourdimensional hyperchaotic system is built based on the three dimensional chaotic Chen system. According to the Lyapunov stability theory, using the adaptive control method, a generalized synchronization controller is designed between the newly constructed fourdimensional hyperchaotic system and the fourdimensional hyperchaotic Chen system. The feasibility of generalized synchronization for the variable parameters estimates and the external parameter values in the controller is discussed, and then the generalized synchronization of heterogeneous systems is converted to the choice of controller. Through comparative analysis of different parameter estimates, appropriate values in the controller can be obtained to achieve the generalized synchronization. Finally, a generalized synchronization circuit is designed. The results of numerical simulation and circuit experiment demonstrate the validity of the method as well as the effectiveness and usefulness of the circuit.

Key words: hyperchaos system;parameters comparison;generalized synchronization;circuit simulation

张小红，周勇飞. 异构超混沌广义同步系统构造及其电路仿真[J]. J4, 2014, 36(03): 551-557.

ZHANG Xiaohong,ZHOU Yongfei. Generalized synchronization system construction of
heterogeneous hyperchaotic and its circuit simulation [J]. J4, 2014, 36(03): 551-557.

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