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arXiv · 2009.04273

Low-dimensional dynamics of phase oscillators driven by Cauchy noise

Takuma Tanaka
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Abstract

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.

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Takuma Tanaka. 2020-09-09. Low-dimensional dynamics of phase oscillators driven by Cauchy noise. https://doi.org/10.1103/physreve.102.042220

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