Stability Analysis of a Steady State in Three Time-delayed Nonlinear Oscillators Coupled by a Static Connection

The present paper investigates amplitude death in three time-delayed oscillators, which have different time delays, coupled by a simple static connection. It is difficult to achieve the stability analysis due to cross-talk terms of characteristic equations. The two novel methodologies, the advanced clustering with frequency sweeping method and the cluster treatment of characteristic roots method, allow us to obtain stability boundary curves in a parameter space.