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Nonlinear dynamics analysis of a modified optically injected semiconductor lasers model

Author

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  • Chu, Yan-Dong
  • Li, Xian-Feng
  • Zhang, Jian-Gang
  • Chang, Ying-Xiang

Abstract

In this paper, a new nonlinear autonomous system that was introduced by Chlouverakis and Sprott is studied further, to present very rich and complex nonlinear dynamical behaviors. Some basic dynamical properties are studied either analytically or numerically, such as Poincaré mapping, Lyapunov exponents, fractal dimension, continuous power spectrum and so forth. Furthermore, the coexistence of different attractors is discovered on the Poincaré maps. Meanwhile, chaotic oscillation of this system is converted into a stable periodic orbit with the method of time-delayed feedback, which demonstrated by numerical simulations and the robustness of this method is proved.

Suggested Citation

  • Chu, Yan-Dong & Li, Xian-Feng & Zhang, Jian-Gang & Chang, Ying-Xiang, 2009. "Nonlinear dynamics analysis of a modified optically injected semiconductor lasers model," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 14-27.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:14-27
    DOI: 10.1016/j.chaos.2007.11.004
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    References listed on IDEAS

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    1. Zhang, Jian-Gang & Li, Xian-Feng & Chu, Yan-Dong & Yu, Jian-Ning & Chang, Ying-Xiang, 2009. "Hopf bifurcations, Lyapunov exponents and control of chaos for a class of centrifugal flywheel governor system," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2150-2168.
    2. Haibo Xu & Guangrui Wang & Shigang Chen, 2001. "Controlling chaos by a modified straight-line stabilization method," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 22(1), pages 65-69, July.
    3. Chlouverakis, Konstantinos E. & Sprott, J.C., 2006. "Chaotic hyperjerk systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 739-746.
    4. Sun, Zhongkui & Xu, Wei & Yang, Xiaoli & Fang, Tong, 2006. "Inducing or suppressing chaos in a double-well Duffing oscillator by time delay feedback," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 705-714.
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