Amplitude Death in Two Coupled Van der Pol Oscillators

In the study of coupled non-linear oscillators' dynamic behavior, amplitude death is an important phenomenon. It displays both oscillation suppression and amplitude. Generally speaking, amplitude death is an issue that has received somewhat less attention from academics than synchronization and anti-synchronization, which are likewise results of linked non-linear systems. In many systems, amplitude death is a useful technique for suppressing unwanted oscillations. Combining the repulsive and attractive couplings will result in the amplitude death.In the current study, we use Lyapunov stability analysis to compute adequate coupling gain for amplitude death in a system of two Van der Pol oscillators. Through numerical simulations, the result is verified.