[1]彭建奎,俞建宁,张莉.一个二维含有理分式离散混沌映射的分析与控制[J].延边大学学报(自然科学版),2014,40(03):240-244.
　PENG Jiankui,YU Jianning,ZHANG Li.Dynamics analysis and chaos control of a two-dimensions discrete map with rational fractionation[J].Journal of Yanbian University,2014,40(03):240-244.
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一个二维含有理分式离散混沌映射的分析与控制

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第40卷 期数: 2014年03期 页码: 240-244 栏目: 应用科学研究 出版日期: 2014-09-20
Title:
Dynamics analysis and chaos control of a two-dimensions discrete map with rational fractionation
作者:
彭建奎1;  俞建宁2;  张莉3
1.兰州文理学院 师范学院,甘肃 兰州 730010; 2.兰州交通大学 数理学院, 甘肃 兰州 730070; 3.兰州工业学院 基础部, 甘肃 兰州 730050
Author(s):
PENG Jiankui1;  YU Jianning2;  ZHANG Li3
1.Normal College, Lanzhou University of Arts and Science, Lanzhou 730010, China; 2.Mathematics and Physics College, Lanzhou Jiaotong University, Lanzhou 730070, China; 3.The Basic Courses Department, Lanzhou Institute of Technology, Lanzhou 730050, Chin
关键词:
有理分式;  离散混沌映射;  小波变换;  压缩映射;  混沌控制
Keywords:
rational fractionation;  discrete chaotic maps;  wavelet transformation;  contraction maps;  chaos control
分类号:
O322
文献标志码:
A
摘要:
借助非线性特征研究工具构造了二维含有理分式离散映射,然后运用最大Lyapunov指数谱和分岔图研究该二维有理分式离散映射的动力学行为,最后利用改进形式的小波函数构造压缩映射,对二维有理分式混沌映射进行了有效的混沌控制.通过理论分析和数值模拟,验证了该混沌控制方法的实用性和有效性.
Abstract:
A two-dimensions discrete chaotic map with rational fractionation is constructed by nonlinear characteristics tools. Then, its dynamic behaviors is studied with the largest Lyapunov exponents spectrum and global bifurcation diagram. Finally, the chaotic attractor can be controlled effectively and fleetly by nonlinear contraction maps, which are composed of improved wavelet functions form. The utility and validity of this new method is validated with theory analysis and numerical simulation.

参考文献/References:

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备注/Memo

收稿日期: 2014-04-15 作者简介: 彭建奎(1982—),男,讲师,研究方向为非线性动力学.基金项目: 甘肃省高等学校科研项目(2013A-135); 甘肃省自然科学基金资助项目(3ZS-051-A25-030,3ZS-042-B25-049)

更新日期/Last Update: 2014-09-20