| 多尺度法与二阶光学非线性系统的稳定性 |
| |
| 引用本文： | 范丽仙,罗晓华,何为,邵明珠,罗诗裕.多尺度法与二阶光学非线性系统的稳定性[J].半导体光电,2010,31(6). |
| |
| 作者姓名： | 范丽仙 罗晓华 何为 邵明珠 罗诗裕 |
| |
| 作者单位： | 东莞理工学院,电子工程学院,广东,东莞,523106;重庆大学,电气工程学院,重庆,400044;重庆交通大学,图书馆,重庆,400074;重庆大学,电气工程学院,重庆,400044 |
| |
| 摘 要： | 在经典力学框架内,把偶极子的运动方程化为带有阻尼项和受迫项的广义外尔斯特拉斯方程.在无扰动情况下,用外尔斯特拉斯函数分析了系统的相平面特征;在扰动情况下,用多尺度法讨论了系统的稳定性.结果表明,在相平面上,分支轨道是一条过不稳定点的同宿轨道,系统除了存在ω=ω0 的主共振和ω=2ω0 的倍频共振外,还存在ω=ω0/2的分频共振.对系统的稳定性分析表明,只需适当选择参数就可以保证系统是稳定的.
|
| 关 键 词： | 非线性 稳定性 多尺度法 外尔斯特拉斯函数 |
Multi-scalar Techniques and Stabilities of Second-order Nonlinear Optical System |
| |
| FAN Lixian,LUO Xiaohua,HE Wei,SHAO Mingzhu,LUO Shiyu.Multi-scalar Techniques and Stabilities of Second-order Nonlinear Optical System[J].Semiconductor Optoelectronics,2010,31(6). |
| |
| Authors: | FAN Lixian LUO Xiaohua HE Wei SHAO Mingzhu LUO Shiyu |
| |
| Affiliation: | FAN Lixian1,LUO Xiaohua2,3,HE Wei2,SHAO Mingzhu1,LUO Shiyu1(1.College of Electron Engineering,Dongguan University of Technology,Dongguan 523106,CHN,2 College of Electric Engineering,Chongqing University,Chongqing 400044,3.Chongqing University of Communications,Chongqing 400074,CHN) |
| |
| Abstract: | In the classical mechanics frame,the motion equation of the dipole is reduced to the general Weierstrass equation with a damping term and a foced term.In the non-perturbed case the phase plane properties are analysed by using Weierstrass function,while in the perturbed case the stabilities of the second-order nonlinear optical system are discussed in terms of the multi-scalar techniques.The results show that the separatrix orbit is a homoclinic orbit through the instable point in the phase plane,there are f... |
| |
| Keywords: | nonlinearity stability multi-scalar techniques Weierstrass function |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
