| 弱耦合映射系统在周期窗口内的行为 |
| |
| 引用本文： | 丁鄂江,吕燕南.弱耦合映射系统在周期窗口内的行为[J].物理学报,1992,41(5):704-709. |
| |
| 作者姓名： | 丁鄂江 吕燕南 |
| |
| 作者单位： | (1)北京师范大学低能核物理研究所,北京100875; (2)北京师范大学低能核物理研究所,北京100875;中国科学院理论物理研究所,北京100080 |
| |
| 基金项目： | 高等学校博士学科点专项科研基金 |
| |
| 摘 要： | 通过解析讨论及数值计算的验证,发现弱耦合映射系统的周期窗口只存在于耦合强度极小的范围内(对于3周期窗口大约为10-3),这个范围可以定义为周期窗口的深度。在周期窗口内耦合映射的行为可以通过讨论少数几个模(相对简单的耦合三映射,实质是一维映射)而确定。耦合映射的第一Lyapunov指数随耦合强度增大的变化曲线呈锯齿形状。
关键词：
|
| 关 键 词： | 耦合 映射 周期窗口 非线性 一维 |
| 收稿时间： | 1991-05-10 |
BEHAVIOR OF A WEAK COUPLED MAP SYSTEM IN THE PERIODIC WINDOWS |
| |
| DING E-JIANG,Lü YAM-NAN.BEHAVIOR OF A WEAK COUPLED MAP SYSTEM IN THE PERIODIC WINDOWS[J].Acta Physica Sinica,1992,41(5):704-709. |
| |
| Authors: | DING E-JIANG Lü YAM-NAN |
| |
| Abstract: | It is shown analytically as well as numerically that a periodic window of the coupled map system exists only for very weak coupling strength (about 10-3 for period 3 window, for instance), which could be defined as the depth of the window. Within the windows the behavior of the coupled map system could be recovered by dealing with a few number of modes, which consist of coupled three maps. The first Lyapunov exponent for the coupled map system shows a "zigzag" curve form virsus the coupling strength. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
|
