| 伯努利移位映射周期轨道在计算机上的实现 |
| |
| 引用本文： | 孟濬. 伯努利移位映射周期轨道在计算机上的实现[J]. 浙江大学学报(工学版), 2001, 35(4): 459-462 |
| |
| 作者姓名： | 孟濬 |
| |
| 作者单位： | 孟灋（浙江大学电气工程学院浙江杭州 310027） |
| |
| 基金项目： | 教育部博士点专项基金资助项目(1999033512). |
| |
| 摘 要： | 给出了伯努利移位映射作用下周期轨道上点的解析表达式及其成立的充分必要条件，分析了周期轨道在计算机上实现时存在的问题，提出了解决该问题的方法，并在计算机上成功地画出了周期轨道．为混沌理论的进一步研究奠定了基础．
|
| 关 键 词： | 混沌 伯努利移位映射 周期点 截断误差 |
| 文章编号： | 1008-973(2001)04-0459-04 |
| 修稿时间： | 1999-03-14 |
Realization of periodic orbits of bernouilli shift map in a digital computer |
| |
| MENG Jun,. Realization of periodic orbits of bernouilli shift map in a digital computer[J]. Journal of Zhejiang University(Engineering Science), 2001, 35(4): 459-462 |
| |
| Authors: | MENG Jun |
| |
| Abstract: | We deduce the analytical formula of periodic points of Bernouilli shift map and analyze the necessary and sufficient conditions. We can simply get the exact value of any periodic points in Bernouilli shift map, and it is very easy to verify whether points are periodic points and determine which periodic points they are. We analyze the problem when we draw the periodic orbits in a digital computer and give a method to overcome this problem. At last we are successful in drawing the periodic orbits in a digital computer. At the same time we give the exampls of state changing figures at three conditions. The base is provided for deeply studying of chaotic theory. |
| |
| Keywords: | chaos bernouilli shift map periodic points truncation error |
| 本文献已被 CNKI 维普 等数据库收录！ |
