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Chaotic signal-induced dynamics of degenerate optical parametric oscillator

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  • Jun, Ma
  • Wu-Yin, Jin
  • Yan-Long, Li

Abstract

The degenerate optical parametric oscillator (DOPO) is investigated. We introduced a normal Lorenz chaotic signal to adjust the amplitude and period of the input electric field in order to influence the dynamics of the time-dependent system. Our numerical simulation results based on the phase figures and Lyapunov exponents spectrum confirm that the characters of the DOPO are determined by the amplitude of the input field, and the system could be controlled to reach n-periodical (n=1,2,3,4,5, etc.) orbit, chaotic and/ or hyperchaotic and stable state by using a modified scheme based on the self-adaptive stratagem.

Suggested Citation

  • Jun, Ma & Wu-Yin, Jin & Yan-Long, Li, 2008. "Chaotic signal-induced dynamics of degenerate optical parametric oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 494-499.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:494-499
    DOI: 10.1016/j.chaos.2006.06.072
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    References listed on IDEAS

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    1. Ahlstrom, C. & Johansson, A. & Hult, P. & Ask, P., 2006. "Chaotic dynamics of respiratory sounds," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1054-1062.
    2. Lu, Jia & Yang, Guolai & Oh, Hyounkyun & Luo, Albert C.J., 2005. "Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1879-1892.
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