Parametric space for nonlinearly excited phase equation

Abstract

Slow variations in the phase of oscillators coupled by diffusion is generally described by a partial differential equation involving infinitely many terms. We consider the case of nonlocal coupling and numerically evaluate the ranges of parameters leading to different forms of a finite truncation of the equation, namely a form based on nonlinear excitation and a form based on linear excitation---the Kuramoto--Sivashinsky equation. References

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