Marquez Bicky A, Larger Laurent, Brunner Daniel, Chembo Yanne K, Jacquot Maxime
FEMTO-ST Institute, CNRS & University Bourgogne Franche-Comté, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
Phys Rev E. 2016 Dec;94(6-1):062208. doi: 10.1103/PhysRevE.94.062208. Epub 2016 Dec 14.
We report on experimental and theoretical analysis of the complex dynamics generated by a nonlinear time-delayed electro-optic bandpass oscillator. We investigate the interaction between the slow- and fast-scale dynamics of autonomous oscillations in the breather regime. We analyze in detail the coupling between the fast-scale behavior associated to a characteristic low-pass Ikeda behavior and the slow-scale dynamics associated to a Liénard limit-cycle. Finally, we show that when projected onto a two-dimensional phase space, the attractors corresponding to periodic and chaotic breathers display a spiral-like pattern, which strongly depends on the shape of the nonlinear function.
我们报告了关于非线性延时电光带通振荡器所产生的复杂动力学的实验和理论分析。我们研究了呼吸子 regime 中自主振荡的慢尺度和快尺度动力学之间的相互作用。我们详细分析了与特征低通池田行为相关的快尺度行为和与李纳极限环相关的慢尺度动力学之间的耦合。最后，我们表明，当投影到二维相空间时，对应于周期性和混沌呼吸子的吸引子呈现出螺旋状图案，这强烈依赖于非线性函数的形状。
