| Chaos control in the nonlinear Schrdinger equation with Kerr law nonlinearity |
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| 引用本文： | 殷久利,赵刘威,田立新. Chaos control in the nonlinear Schrdinger equation with Kerr law nonlinearity[J]. 中国物理 B, 2014, 23(2): 20204-020204. DOI: 10.1088/1674-1056/23/2/020204 |
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| 作者姓名： | 殷久利 赵刘威 田立新 |
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| 作者单位： | Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No.11101191) |
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| 摘 要： | The nonlinear Schrdinger equation with Kerr law nonlinearity in the two-frequency interference is studied by the numerical method.Chaos occurs easily due to the absence of damping.This phenomenon will cause the distortion in the process of information transmission.We find that fiber-optic transmit signals still present chaotic phenomena if the control intensity is smaller.With the increase of intensity,the fiber-optic signal can stay in a stable state in some regions.When the strength is suppressed to a certain value,an unstable phenomenon of the fiber-optic signal occurs.Moreover we discuss the sensitivities of the parameters to be controlled.The results show that the linear term coefficient and the environment of two quite different frequences have less effects on the fiber-optic transmission.Meanwhile the phenomena of vibration,attenuation and escape occur in some regions.
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| 关 键 词： | chaos control fiber-optic signal nonlinear Schrö dinger equation |
| 收稿时间： | 2013-04-24 |
Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity |
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| Yin Jiu-Li,Zhao Liu-Wei,Tian Li-Xin. Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity[J]. Chinese Physics B, 2014, 23(2): 20204-020204. DOI: 10.1088/1674-1056/23/2/020204 |
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| Authors: | Yin Jiu-Li Zhao Liu-Wei Tian Li-Xin |
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| Affiliation: | Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | The nonlinear Schrödinger equation with Kerr law nonlinearity in the two-frequency interference is studied by the numerical method. Chaos occurs easily due to the absence of damping. This phenomenon will cause the distortion in the process of information transmission. We find that fiber-optic transmit signals still present chaotic phenomena if the control intensity is smaller. With the increase of intensity, the fiber-optic signal can stay in a stable state in some regions. When the strength is suppressed to a certain value, an unstable phenomenon of the fiber-optic signal occurs. Moreover we discuss the sensitivities of the parameters to be controlled. The results show that the linear term coefficient and the environment of two quite different frequences have less effects on the fiber-optic transmission. Meanwhile the phenomena of vibration, attenuation and escape occur in some regions. |
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| Keywords: | chaos control fiber-optic signal nonlinear Schrö dinger equation |
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