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ISRN Mathematical Physics
Volume 2014 (2014), Article ID 165250, 6 pages
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.
- F. I. Ndzana, A. Mohamadou, and T. C. Kofané, “Modulational instability in the cubic-quintic nonlinear Schrödinger equation through the variational approach,” Optics Communications, vol. 275, no. 2, pp. 421–428, 2007.
- D. J. Albers and J. C. Sprott, “Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study,” Physica D, vol. 223, no. 2, pp. 194–207, 2006.
- K. Engelborghs, T. Luzyanina, and D. Roose, “Numerical bifurcation analysis of delay differential equations,” Journal of Computational and Applied Mathematics, vol. 125, no. 1-2, pp. 265–275, 2000.
- J. Feng and W. Xu, “Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent,” Applied Mathematics and Computation, vol. 213, no. 2, pp. 577–586, 2009.
- Z. Jing, J. Huang, and J. Deng, “Complex dynamics in three-well duffing system with two external forcings,” Chaos, Solitons and Fractals, vol. 33, no. 3, pp. 795–812, 2007.
- R. Wang, J. Deng, and Z. Jing, “Chaos control in duffing system,” Chaos, Solitons and Fractals, vol. 27, no. 1, pp. 249–257, 2006.
- J. Yang, W. Feng, and Z. Jing, “Complex dynamics in Josephson system with two external forcing terms,” Chaos, Solitons and Fractals, vol. 30, no. 1, pp. 235–256, 2006.
- M. Sun, Q. Jia, and L. Tian, “A new four-dimensional energy resources system and its linear feedback control,” Chaos, Solitons and Fractals, vol. 39, no. 1, pp. 101–108, 2009.
- M. Higuera, J. Porter, and E. Knobloch, “Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation,” Physica D, vol. 162, no. 3-4, pp. 155–187, 2002.
- G. M. Mahmoud, A. A. Mohamed, and S. A. Aly, “Strange attractors and chaos control in periodically forced complex Duffing's oscillators,” Physica A, vol. 292, no. 1–4, pp. 193–206, 2001.
- S. Nikolov, “Complex oscillatory behaviour in a delayed protein cross talk model with periodic forcing,” Chaos, Solitons and Fractals, vol. 42, no. 1, pp. 385–395, 2009.
- M. Sun, L. Tian, S. Jiang, and J. Xu, “Feedback control and adaptive control of the energy resource chaotic system,” Chaos, Solitons and Fractals, vol. 32, no. 5, pp. 1725–1734, 2007.
- G. Yuan, L. Xu, A. Xu, G. Wang, and S. Yang, “Spiral waves in excitable media due to noise and periodic forcing,” Chaos, Solitons and Fractals, vol. 44, no. 9, pp. 728–738, 2011.
- J. Li, W. Zhang, S. F. Miao, M. Sun, and Y. Tian, “Bifurcation set and number of limit cycles in Z2-equivariant planar vector fields of degree 5,” Applied Mathematics and Computation, vol. 218, no. 9, pp. 4944–4952, 2012.