1986/05/01 by S. Shinomoto, Shigeru Shinomoto, Yoshio Kuramoto +1 · 3 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nonlinear Dynamics and Pattern Formation #stochastic dynamics and bifurcation
paper · pdf · doi:10.1143/ptp.75.1105
crossref issued 1986/05/01 · crossref published 1986/05/01 · crossref published-print 1986/05/01 · openalex publication_date 1986/05/01 · crossref created 2005/12/14 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/29
In order to study the statistical dynamics of a large population of limit cycle oscillators or excitable elements, an active rotator model is introduced. This is defined dynamically as a stochastic version of a relaxational planar model (with external field or anisotropy) modified by an additional constant driving force. Its numerical study based on a mean field treatment revealed the existence of a peculiar ordered phase in which individual motions are organized into a macroscopic rhythm. Two possible types of transition to this ordered phase are also found.