Synchronization dynamics in a ring of four mutually inertia coupled self-sustained electrical systems

We investigate in this paper different dynamical states of synchronization which appeared in a ring of four mutually inertia coupled self-sustained electrical systems described by coupled Rayleigh–Duffing equations. We present stability properties of periodic solutions and transition boundaries between different dynamical states using the Floquet theory. Numerical simulations are used to complement the results of the analytical study.