Strategies for Amplitude Control in a Ring of Self-excited Oscillators

We study different strategies for amplitude death in a closed loop of mutually coupled limit cycle oscillators in this paper. An improvised generalised shooting and averaged model equations are used to implement the proposed strategies with ease in symmetrical and unsymmetrical models. The consequences of having a dissimilar oscillator and an external controller in an unsymmetrical network are also discussed in more detail. Numerical results show the predominant inphase attractors above a critical nonlinearity and a faster amplitude mitigation at an optimum coupling strength.