论文标题
与反馈的激光中混沌的最小通用模型
Minimal universal model for chaos in laser with feedback
论文作者
论文摘要
我们以反馈和最小的非线性导致混乱的方式重新审视激光模型。尽管该模型起源于激光物理学，具有与CO2激光相关的特殊性，但它属于三维范式范式非线性振荡器模型的类别。提出的模型包含三个关键的非线性，其中两个是XY型，其中X和Y是快速和慢变量。第三个是XZ^2型，其中z是一个中间反馈变量。我们在分析上表明，这对于通过局部或全球同层分叉产生混乱至关重要。它在Kilo Hertz地区的电子实施证实了其描述在不同时间尺度上演变的现象的潜力。
We revisit the model of the laser with feedback and the minimal nonlinearity leading to chaos. Although the model has its origin in laser physics, with peculiarities related to the CO2 laser, it belongs to the class of the three dimensional paradigmatic nonlinear oscillator models giving chaos. The proposed model contains three key nonlinearities, two of which are of the type xy, where x and y are the fast and slow variables. The third one is of the type xz^2, where z is an intermediate feedback variable. We analytically demonstrate that it is essential for producing chaos via local or global homoclinic bifurcations. Its electronic implementation in the range of kilo Hertz region confirms its potential in describing phenomena evolving on different time scales.
