| 一类高维映射的Hopf分叉 |
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| 引用本文： | 张莉,俞建宁,李阳,彭建奎.一类高维映射的Hopf分叉[J].山东理工大学学报,2007,21(3):20-22. |
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| 作者姓名： | 张莉 俞建宁 李阳 彭建奎 |
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| 作者单位： | 兰州交通大学数理与软件工程学院 甘肃兰州730070 |
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| 基金项目： | 兰州交通大学校科研和教改项目 |
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| 摘 要： | 三维Logistic耦合系统的研究,对高维映射的分叉、浑沌研究具有重要意义.采用Matlab计算机仿真研究了该系统的倍化分叉、Hopf分叉导致混沌的几种情况,研究表明该系统对参数变化很敏感,存在着复杂的动力学行为.
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| 关 键 词： | 映射 混沌 倍化分叉 Hopf分叉 |
| 文章编号： | 1672-6197（2007）05-0020-03 |
| 修稿时间： | 2006-12-04 |
Bifurcations of a high dimensional map |
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| ZHANG Li,Yu Jian-ning,LI Yang,PENG Jian-Kui.Bifurcations of a high dimensional map[J].Journal of Shandong University of Technology:Science and Technology,2007,21(3):20-22. |
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| Authors: | ZHANG Li Yu Jian-ning LI Yang PENG Jian-Kui |
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| Institution: | School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China |
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| Abstract: | The studies of dynamic system of 3-dimentional map have great significance for bifurcation and chaos of high dimensional map.The routes from periodic fixed point to chaos via Flip bifurcation and Hopf bifurcation are analyzed by Matlab numerical simulation.Simulation results show that the system is very sensitive to parameters and has the complex dynamics. |
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| Keywords: | map chaos Flip bifurcation Hopf bifurcation |
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