| 保守型Lotka-Volterra系统的Hamilton结构与周期解 |
| |
| 引用本文： | 赵晓华,吴红颖.保守型Lotka-Volterra系统的Hamilton结构与周期解[J].浙江师范大学学报(自然科学版),2007,30(3):246-250. |
| |
| 作者姓名： | 赵晓华 吴红颖 |
| |
| 作者单位： | 浙江师范大学,动力系统与非线性科学研究中心,浙江,金华,321004 |
| |
| 摘 要： | 利用广义Hamilton系统理论研究了保守型Lotka-Volterra系统的周期解及其他相关动力学性质;举例说明了系统在一定参数条件下的周期解结构.
|
| 关 键 词： | 保守型Lotka-Volterra系统 广义Hamilton系统 周期解 辛叶层 |
| 文章编号： | 1001-5051（2007）03-0246-05 |
| 收稿时间： | 2007-04-16 |
| 修稿时间： | 2007-05-29 |
Hamiltonian structure and periodic solutions for conservative Lotka-Volterra system |
| |
| ZHAO Xiaohua,WU Hongying.Hamiltonian structure and periodic solutions for conservative Lotka-Volterra system[J].Journal of Zhejiang Normal University Natural Sciences,2007,30(3):246-250. |
| |
| Authors: | ZHAO Xiaohua WU Hongying |
| |
| Institution: | Center of Dynamical System and Nonlinear Science, Zhejiang Normal University, Jinhua Zhejiang 321004, China |
| |
| Abstract: | It was discussed the periodic solutions and the corresponding dynamics of a conservative Lotka-Volterra system by using generalized Hamiltonian theory.Moreover,an example was given to illustrate the structure of periodic solutions for system under certain parameter conditons. |
| |
| Keywords: | conservative Lotka-Volterra system generalized Hamiltonian system periodic solutions symplectic foliation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
