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ISRN Mathematical Physics
Volume 2014 (2014), Article ID 165250, 6 pages
http://dx.doi.org/10.1155/2014/165250
Research Article

Vibration, Oscillation, and Escape of the Fiber-Optic Signal under Two-Frequency Perturbations

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

Received 12 December 2013; Accepted 23 January 2014; Published 20 March 2014

Academic Editors: Y. V. Lvov, W.-H. Steeb, and H. Zhou

Copyright © 2014 Jiuli Yin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Chaos occurs easily in the nonlinear Schrödinger equation with external perturbations owing to the absence of damping. For the process of information transmission, the perturbation will cause distortion. If we add a suitable controller, it is easy to discover that chaos still appears in the process of propagation of fiber-optic signal when the strength of controller is weak. With the strength of controller increasing, the propagation of fiber-optic signal will arrive at the stable state. As the strength exceeds a certain degree, the propagation of fiber-optic signal system would tend toward the unstable state. Moreover, we consider the parameters’ sensitivity to be controlled. The result demonstrates that the nonlinear term parameter and the two quite different frequencies have less effect on the propagation of fiber-optic signal. Meanwhile, the phenomena of vibration, oscillation, and escape occur in some regions.