Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity

doi:10.1088/1674-1056/23/2/020204

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20204-020204.doi: 10.1088/1674-1056/23/2/020204

Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity

殷久利, 赵刘威, 田立新

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China

收稿日期:2013-04-24 修回日期:2013-07-19 出版日期:2013-12-12 发布日期:2013-12-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11101191).

Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity

Yin Jiu-Li (殷久利), Zhao Liu-Wei (赵刘威), Tian Li-Xin (田立新)

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China

Received:2013-04-24 Revised:2013-07-19 Online:2013-12-12 Published:2013-12-12
Contact: Yin Jiu-Li E-mail:yjlujs@yahoo.com.cn
About author:02.30.Jr; 02.60.Lj
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11101191).

摘要/Abstract

摘要： 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.

关键词: chaos control, fiber-optic signal, nonlinear Schrö, dinger equation

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.

Key words: chaos control, fiber-optic signal, nonlinear Schrödinger equation

中图分类号: (Partial differential equations)

02.30.Jr

02.60.Lj (Ordinary and partial differential equations; boundary value problems)

殷久利, 赵刘威, 田立新. Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity[J]. 中国物理B, 2014, 23(2): 20204-020204.

Yin Jiu-Li (殷久利), Zhao Liu-Wei (赵刘威), Tian Li-Xin (田立新). Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity[J]. Chin. Phys. B, 2014, 23(2): 20204-020204.

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Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity

Chaos control in the nonlinear Schrödinger equation with Kerr law nonlinearity

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