| 一阶偏差分方程经由锯齿函数而产生的混沌化格式 |
| |
| 引用本文： | 梁伟,史玉明.一阶偏差分方程经由锯齿函数而产生的混沌化格式[J].上海师范大学学报(自然科学版),2019,48(3):272-279. |
| |
| 作者姓名： | 梁伟 史玉明 |
| |
| 作者单位： | 河南理工大学数学与信息科学学院;山东大学数学学院 |
| |
| 摘 要： | 主要研究非周期边界条件下一阶偏差分方程的混沌化问题.利用一般离散动力系统的耦合扩张理论,建立了一阶偏差分方程经由锯齿函数而产生的两个混沌化格式,并证明了所有的受控系统在Devaney和Li-Yorke意义下混沌.最后,通过一个例子来进一步说明结论的正确性.
|
| 关 键 词： | 混沌化 偏差分方程 锯齿函数 动力系统 |
| 收稿时间： | 2018/12/29 0:00:00 |
Chaotification schemes for first-order partial difference equations via sawtooth functions |
| |
| LIANG Wei and SHI Yuming.Chaotification schemes for first-order partial difference equations via sawtooth functions[J].Journal of Shanghai Normal University(Natural Sciences),2019,48(3):272-279. |
| |
| Authors: | LIANG Wei and SHI Yuming |
| |
| Institution: | School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China and School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
| |
| Abstract: | This paper is concerned with chaotification problems of first-order partial difference equations with non-period boundary conditions. Two chaotification schemes for the difference equations via sawtooth functions are established, and all the controlled systems are proved to be chaotic in the sense of both Devaney and Li-Yorke by applying the coupled-expansion theory of general discrete dynamical systems. At the end, one illustrative example is provided. |
| |
| Keywords: | chaotification partial difference equation sawtooth function dynamical system |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《上海师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《上海师范大学学报(自然科学版)》下载免费的PDF全文 |
