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Intermittency and period-doubling cascade on tori in a bimode laser model

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  • Letellier, Christophe
  • Bennoud, Mounia
  • Martel, Gilles

Abstract

Dynamical regimes observed in a bipolarized neodymium-doped fibre laser self Q-switched by a thin slice of a polymer-based saturable absorber were recently reported [Martel G, Bennoud M, Ortac B, Chartier T, Nunzi J-M, Boudebs G, et al. Dynamics of a vectorial neodymium-doped fibre laser passively Q switched by a polymer-based saturable absorber. J Modern Opt 2004;51(1):85–95]. Among them, period-doubling cascade, chaotic and intermittent regimes have been identified but due to the shortness of the time series available, it was not possible to investigate them with the techniques of the nonlinear dynamical system theory. With the help of a rate-equation based bimode laser model, a period-doubling cascade on tori and intermittent behaviors with underlying torus-like structure are investigated.

Suggested Citation

  • Letellier, Christophe & Bennoud, Mounia & Martel, Gilles, 2007. "Intermittency and period-doubling cascade on tori in a bimode laser model," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 782-794.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:782-794
    DOI: 10.1016/j.chaos.2006.01.109
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    Cited by:

    1. Chiou, Juing-Shian & Cheng, Chun-Ming, 2009. "Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 751-759.
    2. San Martín, Jesús & Moscoso, Ma José & González Gómez, A., 2009. "The universal cardinal ordering of fixed points," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1996-2007.
    3. Li, Zengshan & Chen, Diyi & Ma, Mengmeng & Zhang, Xinguang & Wu, Yonghong, 2017. "Feigenbaum's constants in reverse bifurcation of fractional-order Rössler system," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 116-123.

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