Low-dimensional dynamics of phase oscillators driven by Cauchy noise
Low-dimensional dynamics of phase oscillators driven by Cauchy noise
复制标题
柯西噪声驱动的相位振荡器的低维动力学
DOI：
10.1103/physreve.102.042220
复制
发表时间：
2020
影响因子：
2.4
通讯作者：
Tanaka Takuma
中科院分区：
文献类型：
--
作者：
ETOH Shinichi;Tanaka Takuma
众所周知，具有全局正弦耦合的相位振荡器系统表现出低维动态。在本文中，这种特性被扩展到由柯西噪声驱动的相位振荡器系统。低维动力学解与本研究中噪声驱动相位振荡器的数值模拟非常吻合。具有柯西噪声的相同振荡器的低维动力学与具有柯西分布固有频率的异质振荡器的低维动力学一致。这允许通过无噪声的异构振荡器来研究噪声驱动的相同振荡器系统，反之亦然。
Phase oscillator systems with global sine coupling are known to exhibit low-dimensional dynamics. In this paper, such characteristics are extended to phase oscillator systems driven by Cauchy noise. The low-dimensional dynamics solution agreed well with the numerical simulations of noise-driven phase oscillators in the present study. The low-dimensional dynamics of identical oscillators with Cauchy noise coincided with those of heterogeneous oscillators with Cauchy-distributed natural frequencies. This allows for the study of noise-driven identical oscillator systems through heterogeneous oscillators without noise and vice versa.