| 三维食物链的非线性振荡 |
| |
| 引用本文： | 晏开湘,黄迅成. 三维食物链的非线性振荡[J]. 扬州职业大学学报, 2006, 10(4): 27-31 |
| |
| 作者姓名： | 晏开湘 黄迅成 |
| |
| 作者单位： | 扬州职业大学,江苏,扬州,225009 |
| |
| 摘 要： | 利用中心流型定理和Lyapunov函数,证明了一个三维食物链的Hopf分支的存在性,从而可知在三维食物链系统中也存在非线性振荡。本文的方法显然也适合其它三维非线性系统。
|
| 关 键 词： | 食物链 Hopf分支 Lyapunov函数 中心流型 非线性振荡 |
| 文章编号： | 1008-3693(2006)04-0027-05 |
| 收稿时间： | 2006-09-11 |
| 修稿时间： | 2006-09-11 |
The Nonlinear Oscillation in a 3-D Food- Chain Model |
| |
| YAN Kai-xiang,HUANG Xun-cheng. The Nonlinear Oscillation in a 3-D Food- Chain Model[J]. Journal of Yangzhou Polytechnic College, 2006, 10(4): 27-31 |
| |
| Authors: | YAN Kai-xiang HUANG Xun-cheng |
| |
| Affiliation: | Yangzhou Polytechnic College, Yangzhou 225009, China |
| |
| Abstract: | In this paper,by using Center Manifold Theorem and Lyapunov function,we show that the three-dimensional food-chain model studied by many authors undergoes a 3-D Hopf bifurcation,and then we prove that there exists nonlinear oscillation in the system.The methods used here can be extended to many other 3-D nonlinear differential systems. |
| |
| Keywords: | food chain Hopf bifurcation Lyapunov function center manifold theorem nonlinear oscillation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
