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| 一个新混沌系统及混沌同步的研究 | |
| 引用本文： | 彭建奎,俞建宁,张元军,张莉.一个新混沌系统及混沌同步的研究[J].甘肃联合大学学报(自然科学版),2009,23(6):4-8. |
| 作者姓名： | 彭建奎 俞建宁 张元军 张莉 |
| 作者单位： | 1. 甘肃联合大学,师范学院,甘肃,兰州,730000 2. 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070 3. 白银市第六中学,信息部,甘肃,白银,730900 4. 兰州工业高等专科学校,基础学科部,甘肃,兰州,730050 |
| 基金项目： | 甘肃省自然科学基金项目 |
| 摘 要： | 提出一种新混沌系统，研究其系统的基本动力学行为，给出相图、功率谱以及李雅普诺夫指数图，基于李雅普诺夫指数谱和全局分岔图分析了系统参数对新系统的影响，最后设计自激活控制函数与非线性反馈控制器对新混沌系统实现混沌自同步控制，并进行理论证明与数值仿真证实控制方法的有效性． |
| 关 键 词： | 新混沌系统 功率谱 混沌同步 Lyapunov指数谱 非线性反馈 |
Studying on a new Chaotic System and Its Synchronization |
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| PENG Jian-kui,YU Jian-ning,ZHANG Yuan-jun,ZHANG Li.Studying on a new Chaotic System and Its Synchronization[J].Journal of Gansu Lianhe University :Natural Sciences,2009,23(6):4-8. | |
| Authors: | PENG Jian-kui YU Jian-ning ZHANG Yuan-jun ZHANG Li |
| Institution: | PENG Jian-kui1,YU Jian-ning2,ZHANG Yuan-jun3,ZHANG Li4(1.Normal School,Gansu Lianhe University,Lanzhou 730000,China,2.College of Mathematics Physics & SoftwareEngineering,Lanzhou Jiaotong University,Lanzhou 730070,3.Minisitry of Information,The 6 MIddle School ofBaiying,Baiying 730900,4.The Basic Science Minisitry,Lanzhou Polytechnical College,Lanzhou 730050,China) |
| Abstract: | In this paper,the new chaotic system is proposed. Its basic dynamical behaviors,such as the phase portraits,the power spectrum and the Lyapunov exponents were studied. The influence of system parameter on the chaotic system was investigated through Lyapunov-exponent spectrum and global bifurcation diagram. At last,the active control and nonlinear-feedback control laws were utilized to implement the chaos anti-synchronization,the theoretical analysis and numerical simulation show the effectiveness of these c... |
| Keywords: | the new chaotic system power spectrum chaos synchronization Lyapunov-exponent spectrum nonlinear feedback |
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