Year: 2026
Type: preprint
Abstract: We study noisy identical Kuramoto-Sakaguchi oscillators with phase lag $α\in[0,π/2)$, where $α>0$ induces nonreciprocal interactions. Numerical phase diagrams in the $(σ, α)$ plane in fully-connected graphs, formed by long-range weights tuned by $σ$ on $d$-dimensional lattices, reveal a critical phase lag $α_c$, below which spontaneous synchronization occurs. This critical phase lag decreases monotonically with $σ$. We characterize the critical behavior analytically using the dynamical renormalization group theory.
Source: arXiv (Cornell University)
Authors: Bae, Minwoo, Kori, Hiroshi
Institution: The University of Tokyo
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7164967044