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一种超混沌映射的单双参量自适应同步
引用本文:赵喜梅,刘鹏,杨世平.一种超混沌映射的单双参量自适应同步[J].大学物理,2007,26(4):31-34.
作者姓名:赵喜梅  刘鹏  杨世平
作者单位:1. 邢台学院,物理系,河北,邢台,054001
2. 河北师范大学,物理学院,河北,石家庄,050016
基金项目:河北省自然科学基金 , 邢台学院校科研和教改项目
摘    要:利用参量自适应法实现了超混沌系统Kawakami映射的同步.通过严密的数学推导,给出了Kawakami映射在单参量自适应下实现同步的充分条件,并在双参量自适应控制下系统同样实现了同步.数值模拟结果显示,该映射输出具有类似于白噪声的宽谱特性,因此比较适合用于保密通信.

关 键 词:超混沌  弱混沌  参量自适应法  李雅普诺夫指数  混沌同步  频谱
文章编号:1000-0712(2007)04-0031-04
收稿时间:03 21 2006 12:00AM
修稿时间:09 20 2006 12:00AM

Synchronization of a kind of hyperchaotic map based on parametric adaptive control algorithm
ZHAO Xi-mei,LIU Peng,YANG Shi-ping.Synchronization of a kind of hyperchaotic map based on parametric adaptive control algorithm[J].College Physics,2007,26(4):31-34.
Authors:ZHAO Xi-mei  LIU Peng  YANG Shi-ping
Institution:1. Department of Physics, Xingtai college, Xingtai, Hebei 054001, China; 2. College of Physics, Hebei Normal University, Shijiazhuang 050016, China
Abstract:The hyperchaotic systems Kawakami map is synchronized completely using parametric adaptive control algorithm.After a rigorous mathematical deriving,a sufficient condition of the single-parameter adaptive control can be drawn for the synchronization of Kawakami map,and the synchronization is also found in double-parameter adaptive control.The simulation results show that the output signal of this map is similar to the spectrum of white noise,so it can be used in secret communication.
Keywords:hyperchaos  weak chaos  parametric adaptive control algorithm  Lyapunov characteristic exponent  chaos synchronization  spectrum
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