| 一种非线性方程的强非线性共振的转迁集 |
| |
| 引用本文： | 许东亮.一种非线性方程的强非线性共振的转迁集[J].新乡师范高等专科学校学报,2007,21(5):4-6. |
| |
| 作者姓名： | 许东亮 |
| |
| 作者单位： | 南京航空航天大学,金城学院,江苏,南京,211156 |
| |
| 摘 要： | 运用多尺度法和改进的L-P方法,通过引入参数变换把较大的摄动参数ε转换成小参数α,从而使讨论的非线性方程可用多尺度法和L-P方法求其近似解。求出了该方程亚谐共振(即k=1/2)时的分岔响应方程和转迁集。
|
| 关 键 词： | 亚谐振动 改进L-P方法 多尺度法 分岔 转迁集 |
| 文章编号： | 1008-7613（2007）05-0004-03 |
| 修稿时间： | 2007-06-19 |
The Transition Sets for a Class of Nonlinear Equation with Strongly Nonlinear Resonance |
| |
| XU Dong-liang.The Transition Sets for a Class of Nonlinear Equation with Strongly Nonlinear Resonance[J].Journal of Xinxiang Teachers College,2007,21(5):4-6. |
| |
| Authors: | XU Dong-liang |
| |
| Institution: | Jineheng College of Nanjing University of Aeronautics and Astronautics, Nanjing 211156, China |
| |
| Abstract: | In the paper the improved L- P method and multiple scale method were used, and parameter transformation weve introduced to switch larger parameter to smaller parameter so that the improved L- P method and multiple scale method can be used to work out the approximate solution of the nonlinear equation discussed. Furthermore, the branching response equation and transition sets of the equations were obtained for 1/2 subharmonic resonance. |
| |
| Keywords: | subharmonic resonance improved L - P method branching transition sets |
| 本文献已被 维普 万方数据 等数据库收录！ |
