Liu Z, Ouali M, Coulibaly S, Clerc M G, Taki M, Tlidi M
Opt Lett. 2017 Mar 15;42(6):1063-1066. doi: 10.1364/OL.42.001063.
Complex spatiotemporal dynamics have been a subject of recent experimental investigations in optical frequency comb microresonators and in driven fiber cavities with Kerr-type media. We show that this complex behavior has a spatiotemporal chaotic nature. We determine numerically the Lyapunov spectra, allowing us to characterize different dynamical behavior occurring in these simple devices. The Yorke-Kaplan dimension is used as an order parameter to characterize the bifurcation diagram. We identify a wide regime of parameters where the system exhibits a coexistence between the spatiotemporal chaos, the oscillatory localized structure, and the homogeneous steady state. The destabilization of an oscillatory localized state through radiation of counter-propagating fronts between the homogeneous and the spatiotemporal chaotic states is analyzed. To characterize better the spatiotemporal chaos, we estimate the front speed as a function of the pump intensity.
复杂的时空动力学一直是近期光学频率梳微谐振器以及含有克尔型介质的受激光纤腔实验研究的主题。我们表明这种复杂行为具有时空混沌的性质。我们通过数值计算确定了李雅普诺夫谱，这使我们能够表征这些简单装置中出现的不同动力学行为。约克 - 卡普兰维数被用作表征分岔图的序参量。我们确定了一个宽泛的参数范围，在此范围内系统呈现时空混沌、振荡局域结构和均匀稳态之间的共存。分析了通过在均匀态和时空混沌态之间反向传播前沿的辐射导致振荡局域态失稳的情况。为了更好地表征时空混沌，我们估计前沿速度作为泵浦强度的函数。
