激光器中的噪声同步和随机分岔
Noise synchronisation and stochastic bifurcations in lasers
摘要：
本文从随机拉回吸引子及其不稳定性的角度研究噪声同步。我们考虑一个非耦合激光器的系综，每个激光器都是一个极限环振荡器，它们由相同的外部高斯白噪声驱动。随着外部噪声强度的增加，同步开始，然后失去同步。激光方程的局部分析表明，同步通过随机分岔到一个随机的奇怪吸引子而变得不稳定。该分叉的轨迹在由Hopf参数、幅相耦合或剪切量以及外部噪声强度定义的三维参数空间中计算。分析揭示了这种随机分岔的平方根定律。
英文摘要：
This paper studies noise synchronisation in terms of random pullback attractors and their instabilities. We consider an ensemble of uncoupled lasers, each being a limit-cycle oscillator, which are driven by the same external white Gaussian noise. As the external-noise strength increases, there is an onset of synchronization and then subsequent loss of synchrony. Local analysis of the laser equations shows that synchronization becomes unstable via stochastic bifurcation to a random strange attractor. The locus of this bifurcation is calculated in the three-dimensional parameter space defined by the Hopf parameter, amount of amplitude-phase coupling or shear, and external-noise strength. The analysis uncovers a square-root law for this stochastic bifurcation.
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