| 周期驱动非线性系统共振宽度与混沌的研究 |
| |
| 引用本文： | 武志华.周期驱动非线性系统共振宽度与混沌的研究[J].兰州理工大学学报,1991(4). |
| |
| 作者姓名： | 武志华 |
| |
| 作者单位： | 甘肃工业大学基础课部 |
| |
| 摘 要： | 本文用准能量法代替Chirikov的“单摆近似法”,讨论周期驱动非线性系统的共振宽度,结果表明本文方法对共振宽度计算精度有所提高。另外,文中还提出了计算岛宽的一个理论公式,经过与大量数值实验比较,证实该公式基本正确。
|
| 关 键 词： | 非线性振动 临界 准能量 混沌场 KAM环面 |
Investigation of Resonance Width and Chaos in a Periodically Driven Non-linear System |
| |
| Wu Zhihua.Investigation of Resonance Width and Chaos in a Periodically Driven Non-linear System[J].Journal of Lanzhou University of Technology,1991(4). |
| |
| Authors: | Wu Zhihua |
| |
| Institution: | Division of Basic Courses |
| |
| Abstract: | In this paper, Chirikov's nonlinear resonance theory is replaced by the so-called quasienergy method to estimate resonance width in a periodically driven nonlinear system . The results show that the computation accuracy is increased to some extend by using the method presented in this paper, on the other hand,a theoretical formula for estimating the island width is also given. After a great deal of work on numerical simulation being done , the results show that the formula is essentially correct. |
| |
| Keywords: | non-linear vibration critical quasi-energy chaos field KAM tori |
| 本文献已被 CNKI 等数据库收录！ |
