Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise

• Published in: Chaos (Woodbury, N.Y.) Vol. 35; no. 2
• Main Authors: Ageeva, Maria V, Goldobin, Denis S
• Format: Journal Article
• Language: English
• Published: United States 01.02.2025

We report the effect of nonlinear bias of the frequency of collective oscillations of sin-coupled phase oscillators subject to individual asymmetric Cauchy noises. The noise asymmetry makes the Ott-Antonsen ansatz inapplicable. We argue that, for all stable non-Gaussian noises, the tail asymmetry is...