| IFS吸引子的界与其动力学性态的研究 |
| |
| 引用本文： | 王兴元.IFS吸引子的界与其动力学性态的研究[J].工程图学学报,2005,26(6):127-134. |
| |
| 作者姓名： | 王兴元 |
| |
| 作者单位： | 大连理工大学电子与信息工程学院,大连,116024;大连海事大学计算机科学与技术学院,大连,116026 |
| |
| 基金项目： | 中国科学院资助项目;辽宁省自然科学基金 |
| |
| 摘 要： | 阐述了迭代函数系(IteratedFunctionSystem,简称IFS)理论及随机迭代算法,通过理论解析给出了求IFS吸引子界的方法,介绍了IFS吸引子的Lyapunov指数和关联维数的算法。利用计算机构造了一系列IFS吸引子,计算了IFS吸引子的界、Lyapunov指数和关联维数,分析了IFS吸引子的动力学特征,讨论了当参数变化时IFS吸引子界的变化规律。
|
| 关 键 词： | 计算机应用 迭代函数系吸引子 随机迭代算法 Lyapunov指数 关联维数 |
| 文章编号： | 1003-0158（2005）06-0127-08 |
| 收稿时间： | 2004-10-25 |
| 修稿时间： | 2004年10月25 |
Boundary of Attractors of Iterated Function Systems and Its Dynamic Characteristics |
| |
| WANG Xing-yuan.Boundary of Attractors of Iterated Function Systems and Its Dynamic Characteristics[J].Journal of Engineering Graphics,2005,26(6):127-134. |
| |
| Authors: | WANG Xing-yuan |
| |
| Abstract: | The iterated function systems(it is called IFS for short) theory and the random iteration algorithm were expounded.By the theory analysis,the method by which the boundary of attractors of IFS can be evaluated was given out.The algorithm of determining the lyapunov exponent and the correlation dimension of the attractors of IFS was introduced.Utilizing the computer simulated a series of the attractors of IFS.The boundary,the lyapunov exponent and the correlation dimension of the attractors of IFS were calculated,and the dynamic characteristics of the attractors of IFS were analyzed.The changing regularity of the boundary of attractors of IFS was discussed when the control parameters were changed. |
| |
| Keywords: | computer application attractors of IFS random iteration algorithm Lyapunov exponent correlation dimension |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
