Adler phase equation (source code)

= Adler phase equation
{c}
{title2=$\dot\theta=\omega-\epsilon\sin\theta$}

= Adler equation
{c}
{synonym}

The relative-phase drift $\dot\theta=\omega-\epsilon\sin\theta$ describes competing frequency mismatch and phase coupling. For $0<\omega<\epsilon$, the <equilibrium points> are $\arcsin(\omega/\epsilon)$ and $\pi-\arcsin(\omega/\epsilon)$, stable and unstable respectively. They merge in a <saddle-node bifurcation> at $\omega=\epsilon$; greater mismatch gives <running phase dynamics>. Adding <Gaussian white noise> gives <Overdamped Langevin dynamics> in a <tilted washboard potential>.