论文标题
相同相位振荡器的合奏的低维描述受到Cauchy噪声的影响
Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise
论文作者
论文摘要
我们研究了受独立的白色考奇噪声的全球耦合或强制相同相位振荡器的合奏。我们证明，如果在几个谐波中强迫振荡器，则可以用有限数量的复杂顺序参数来精确地描述固定同步方案。相应的阶段分布是包裹的Cauchy分布的产物。对于正弦强迫，恢复了Ott-Antonsen低维还原。
We study an ensembles of globally coupled or forced identical phase oscillators subject to independent white Cauchy noise. We demonstrate, that if the oscillators are forced in several harmonics, stationary synchronous regimes can be exactly described with a finite number of complex order parameters. The corresponding distribution of phases is a product of wrapped Cauchy distributions. For sinusoidal forcing, the Ott-Antonsen low-dimensional reduction is recovered.
