2020/09/09 by Takuma Tanaka · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Cauchy distribution #Chaos control and synchronization #Computer science #Control theory (sociology) #Coupling (piping) #Engineering #Mathematical analysis #Mathematics #Mechanical and Optical Resonators #Noise (video) #Noise figure #Nonlinear Dynamics and Pattern Formation #Optics #Oscillator phase noise #Phase (matter) #Phase noise #Physics #Quantum mechanics #Statistical physics #nlin.AO
paper · pdf · doi:10.1103/physreve.102.042220
published as Phys. Rev. E 102, 042220 (2020) · 12 pages, 2 figures
arxiv created 2020/09/09 · openalex publication_date 2020/10/30 · arxiv updated 2020/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.