|
|||||
|
|
| 一个二维离散超混沌系统的分析与控制 | |
| 引用本文： | 刘晓君,李险峰,常迎香,陈红兵.一个二维离散超混沌系统的分析与控制[J].四川大学学报(自然科学版),2008,45(6):1457-1462. |
| 作者姓名： | 刘晓君 李险峰 常迎香 陈红兵 |
| 作者单位： | 1. 天水师范学院数学与统计学院,天水,741001;兰州交通大学数理与软件工程学院,兰州,730070 2. 兰州交通大学数理与软件工程学院,兰州,730070 3. 天水师范学院数学与统计学院,天水,741001 |
| 基金项目： | 甘肃省自然科学基金(3ZS042-B25-049)；兰州交通大学科研基金(DXS-07-0028，DXS-07-0029) |
| 摘 要： | 首先理论上分析了一个二维离散超混沌系统混沌吸引子的存在性.数值模拟得到系统随参数d变化的分岔图,Lyapunov指数谱及吸引子图像. 利用逃逸时间算法原理, 给出了二维离散系统的逃逸时间吸引盆算法和程序设计. 利用小波函数构成的非线性映射压缩法对系统的超混沌控制进行了研究, 并对该方法进行了改进, 得到了丰富的控制结果. |
| 关 键 词： | 二维超混沌系统 Neimark-Sacker分岔 混沌 超混沌控制 |
Dynamics analysis and chaos control of a two-dimensional hyperchaotic discrete system |
|
| LIU Xiao-Jun,LI Xian-Feng,CHANG Ying-Xiang,CHEN Hong-Bing.Dynamics analysis and chaos control of a two-dimensional hyperchaotic discrete system[J].Journal of Sichuan University (Natural Science Edition),2008,45(6):1457-1462. | |
| Authors: | LIU Xiao-Jun LI Xian-Feng CHANG Ying-Xiang CHEN Hong-Bing |
| Affiliation: | School of Mathematics and Statistics, Tianshui Normal Collage;School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University;School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University;School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University;School of Mathematics and Statistics, Tianshui Normal Collage |
| Abstract: | In the paper, the existence of the attractor in a two-dimensional hyperchaotic discrete system is studied. The bifurcation diagram with the parameter,the Lyapunov exponent with the parameter, and attractors are got by means of numerical simulation. The escape-time fractal basins algorithm and the programming are also studied using the algorithm of escape-time.The hyperchaotic of the system is controlled by the nonlinear mapping on wavelet function. So, the method is improved and the abundance control periodic orbits are obtained. |
| Keywords: | two-dimensional hyperchaotic system neimark-sacker bifurcation chaos hyperchaotic control |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 | |
| 点击此处可从《四川大学学报(自然科学版)》下载全文 | |
