Low-dimensional dynamics of phase oscillators driven by Cauchy noise.
basic_science · Level V
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- Record sourced from PubMed, PMID 33212631.
- Also identified by DOI 10.1103/PhysRevE.102.042220.
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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.