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数字实现混沌系统的建模、仿真与实验

Modeling,simulation and experiment of chaotic systems based on digital realization

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【作者】 徐强包伯成胡文杨晓云

【Author】 XU Qiang1,BAO Bo-cheng2,HU Wen3,YANG Xiao-yun1(1.School of Computer and Information Engineering,Changzhou Institute of Technology,Changzhou 213002,China;2.School of Electrical and Information Engineering,Jiangsu Teachers University of Technology,Changzhou 213001,China;3.College of Information Science and Technology,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

【机构】 常州工学院计算机信息工程学院江苏技术师范学院电气信息工程学院南京航空航天大学信息科学与技术学院

【摘要】 为提高混沌信号源的稳定性和精确性,提出了数字实现混沌系统的方法。在综合新提出的三维混沌系统和四维超混沌系统的基础上,通过将它们的微分方程转化为积分方程,采用离散化累积运算方法,建立了基于数字实现的离散模型。在Matlab/Simulink下数值仿真观察到了系统参数变化时动力学行为的演变过程,并基于ATmega128L微控制器芯片实现了相应的混沌和超混沌系统。仿真和实验结果表明了混沌和超混沌现象的存在性以及数字实现的可行性。

【Abstract】 To improve the stability and accuracy of chaos signal source,an approach to digitally implementing chaotic systems is proposed.On the basis of synthesizing the proposed three-dimensional chaotic system and four-dimensional hyperchaotic system,by transforming their differential equations to integral equations and using discrete cumulative computing method,the digital realization based discrete models are established.The dynamical evolving routes with the variations of system parameters are investigated by numerical simulations under Matlab/Simulink,and the corresponding chaotic and hyperchaotic systems are implemented based on ATmega128L microcontroller chip.The results from simulations and experiments verify the existence of chaotic and hyperchaotic behaviors as well as the feasibility of digital realization.

【基金】 江苏省自然科学基金项目(BK2009105);航空科学基金项目(2009ZC52038)
  • 【文献出处】 计算机工程与设计 ,Computer Engineering and Design , 编辑部邮箱 ,2010年15期
  • 【分类号】O415.5
  • 【被引频次】6
  • 【下载频次】248
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