| LMGS吸引子混沌特征的定量观测 |
| |
| 引用本文： | 王兴元,顾树生.LMGS吸引子混沌特征的定量观测[J].东北大学学报(自然科学版),2001,22(1):13-16. |
| |
| 作者姓名： | 王兴元 顾树生 |
| |
| 作者单位： | 东北大学信息科学与工程学院!辽宁沈阳110004;东北大学信息科学与工程学院!辽宁沈阳110004 |
| |
| 基金项目： | 中国博士后科学基金资助项目，辽宁省自然科学基金资助项目! (972 194，9810 2 0 0 3 0 1) |
| |
| 摘 要： | 对孙海坚等人给出的Logistic映射图形集(theLogisticMapGraphSet,简称LMGS)的定义进行了扩展,并利用扩展的LMGS的定义构造出许多美丽的2DLMGS图形·这些美丽的图形根据其生成方式不同,可分成两类图形和吸引子·本文探讨了图形与吸引子之间的联系,发现图形的边缘与其对应的吸引子相似;并由一维可观察量计算系统混沌定量判据的方法,计算了吸引子的Lyapunov指数和关联维数,结果表明吸引子具有混沌动力学特征
|
| 关 键 词： | Logistic映射图形集 吸引子 Lyapunov指数 关联维数 混沌 |
| 文章编号： | 1005-3026(2001)01-0013-04 |
| 修稿时间： | 2000年5月18日 |
Quantitative Observation of the Chaos Characteristics of the LMGS Attractors |
| |
| WANG Xing-yuan,GU Shu-sheng.Quantitative Observation of the Chaos Characteristics of the LMGS Attractors[J].Journal of Northeastern University(Natural Science),2001,22(1):13-16. |
| |
| Authors: | WANG Xing-yuan GU Shu-sheng |
| |
| Abstract: | The definition of the logistic map graph set (it is called LMGS for short) was expanded, and a lot of beauty 2 D LMGS graphs were generated by using the expanded definition.According to different generated form,these beauty graphs can be classified into two categories:graph and the attractor of the graph.The relationship between graph and the attractor of the graph was investigatecl.The graph boundary is similar with the attractor of the graph.The largest lyapunov exponent and the correlation dimension of the attractor of the graph were calculated by determining the chaos quantitative criterion of the system by one freedom degree times series.The attractor of the graph has chaos dynamic characteristics. |
| |
| Keywords: | logistic map graph set attractor of the graph Lyapunov exponent correlation dimension chaos |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《东北大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《东北大学学报(自然科学版)》下载免费的PDF全文 |
