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Logistic-Unified混杂混沌系统
引用本文:刘扬正,林长圣,李心朝,刘海鹏,王忠林.Logistic-Unified混杂混沌系统[J].物理学报,2011,60(3):30502-030502.
作者姓名:刘扬正  林长圣  李心朝  刘海鹏  王忠林
作者单位:(1)滨州学院物理与电子科学系,滨州 256603; (2)南京工程学院非线性物理研究所,南京 211167
基金项目:国家自然科学基金(批准号:90405011),江苏省高校自然科学研究基金(批准号:07KJD120081), 山东省科技发展计划项目(批准号:2009GG10001030),南京工程学院自然科学研究基金(批准号:KXJ07068)资助的课题.
摘    要:提出利用Logistic混沌映射调制Unified混沌系统的参数,构建Logistic-Unified(LU)混杂混沌系统的思想.在Logistic混沌映射产生的随机数值的调制下,Unified混沌系统的参数随机变化,控制LU混杂混沌系统在广义Lorenz系统、Lü系统和广义Chen系统间随机切换,产生极其复杂的混沌信号.用数字信号处理(DSP)芯片对LU混杂混沌系统进行硬件实现,硬件实验与数值仿真结果一致,证明了理论分析的正确性. 关键词: LU混杂混沌系统 切换律 Lyapunov指数 DSP

关 键 词:LU混杂混沌系统  切换律  Lyapunov指数  DSP
收稿时间:2010-05-31

The Logistic-Unified hybrid chaotic system
Liu Yang-Zheng,Lin Chang-Sheng,Li Xin-Chao,Liu Hai-Peng,Wang Zhong-Lin.The Logistic-Unified hybrid chaotic system[J].Acta Physica Sinica,2011,60(3):30502-030502.
Authors:Liu Yang-Zheng  Lin Chang-Sheng  Li Xin-Chao  Liu Hai-Peng  Wang Zhong-Lin
Institution:Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 211167, China;Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 211167, China;Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 211167, China;Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 211167, China;Department of Physics and Electronics, Binzhou University, Binzhou 256603, China
Abstract:A Logistic-Unified hybrid chaotic system is generated. In this system, following the random changing of the state variable values of the Logistic map, the parameter values of the Unified system can be modulated randomly, and the Logistic-Unified hybrid chaotic system can be switched between the generalized Lorenz system, Lü system and generalized Chen system randomly. The extremely complicated chaotic signal is generated via the Logistic-Unified hybrid chaotic system. The Logistic-Unified hybrid chaotic system is realized based on digital signal processing (DSP). Hardware experiments and software simulation are completely consistent, and the results demonstrate the validily of the theoretical analysis.
Keywords:Logistic-Unified hybrid chaotic system  switching law  Lyapunov exponents  DSP
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