2010/10/05 by Richard Taylor, Taylor, Richard
Computer Science · #37 #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.1010.0766
openalex publication_date 2010/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a necessary condition for the existence of stable fixed points for the general network Kuramoto model, and use it to show that for the complete network the homogeneous model has no non-zero stable fixed point solution. This result provides further evidence that in the homogeneous case the zero fixed point has an attractor set consisting of the entire space minus a set of measure zero, a conjecture of Verwoerd and Mason (2007).