Stabilization of Steady States in Oscillators Coupled by a Partial Time-Varying Delay Connection

The present paper investigates a stabilization of unstable steady states in a pair of limit-cycle oscillators coupled by a partial time-varying delay connection. This connection has two connection delays: time-varying delay and time-invariant delay. A linear stability analysis allows us to obtain the stability regions in a connection parameter space. It is shown that the partial time-varying delay connection enlarges the stability region as compared with the conventional time-invariant delay connection. The analytical results are confirmed by numerical simulations.