  This article investigates the Kuramoto model with three oscillators that are
interconnected by an isosceles triangle network. The characteristic of this
model is that the coupling connections between the oscillators can be either
attractive or repulsive. We list all critical points and investigate their
stability. We furthermore present a framework studying convergence towards
stable critical points under special coupled strengths. The main tool is the
linearization and the monotonicity arguments of oscillator diameter.
