Overcoming oscillation quenching in coupled nonlinear oscillators

Rhythmic oscillation activity plays an important role in various natural and artificial systems. However, the appearance of oscillation quenching phenomena can lead to a loss or degradation of intrinsic function for many practical systems. In this work, we introduce a simple method based on the external positive feedback that can efficiently revoke these quenching states in different coupling schemes. Taking the limit cycle Stuart-Landau systems as example, we have illustrated numerically and analytically that tuning the feedback strength can shrinks drastically the oscillation quenching regions in the parameter space. Our study will provide a new and general framework to retrieve the rhythmicity or the strengthen the robustness for dynamic activity of coupled nonlinear systems.