Stable plane waves in nonlocally coupled phase oscillators

We consider a system of nonlocally coupled phase oscillators and perform a linear stability analysis of the plane wave solutions of the system. Consequently, we demonstrate the stability of the solution associated with a particular wavenumber and also the robustness of the stability against the heterogeneity of natural frequencies. The mathematical model is valid in any spatial dimension, and the theoretical results are confirmed via direct numerical simulations.

Automated summary

The study investigates the stability of a system of nonlocally coupled phase oscillators, analyzing the plane wave solutions and demonstrating their stability under specific wavenumbers and natural frequency heterogeneity. The mathematical model is applicable in any spatial dimension and the theoretical findings are corroborated through numerical simulations.