Barbay Sylvain, Coulibaly Saliya, Clerc Marcel G
Centre de Nanosciences et de Nanotechnologies, CNRS, Université Paris-Sud, Université Paris-Saclay, Avenue de la Vauve, 91120 Palaiseau, France.
Université de Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
Entropy (Basel). 2018 Oct 15;20(10):789. doi: 10.3390/e20100789.
Out-of-equilibrium systems exhibit complex spatiotemporal behaviors when they present a secondary bifurcation to an oscillatory instability. Here, we investigate the complex dynamics shown by a pulsing regime in an extended, one-dimensional semiconductor microcavity laser whose cavity is composed by integrated gain and saturable absorber media. This system is known to give rise experimentally and theoretically to extreme events characterized by rare and high amplitude optical pulses following the onset of spatiotemporal chaos. Based on a theoretical model, we reveal a dynamical behavior characterized by the chaotic alternation of phase and amplitude turbulence. The highest amplitude pulses, i.e., the extreme events, are observed in the phase turbulence zones. This chaotic alternation behavior between different turbulent regimes is at contrast to what is usually observed in a generic amplitude equation model such as the Ginzburg-Landau model. Hence, these regimes provide some insight into the poorly known properties of the complex spatiotemporal dynamics exhibited by secondary instabilities of an Andronov-Hopf bifurcation.
当非平衡系统出现向振荡不稳定性的二次分岔时，会表现出复杂的时空行为。在此，我们研究一种扩展的一维半导体微腔激光器中脉冲 regime 所呈现的复杂动力学，该激光器的腔由集成增益和可饱和吸收介质组成。已知该系统在实验和理论上会产生极端事件，其特征是在时空混沌开始后出现罕见且高幅度的光脉冲。基于一个理论模型，我们揭示了一种以相位和幅度湍流的混沌交替为特征的动力学行为。最高幅度的脉冲，即极端事件，出现在相位湍流区域。不同湍流 regime 之间的这种混沌交替行为与通常在诸如金兹堡 - 朗道模型等一般幅度方程模型中观察到的情况形成对比。因此，这些 regime 为安德罗诺夫 - 霍普夫分岔的二次不稳定性所表现出的复杂时空动力学的鲜为人知的特性提供了一些见解。
