The strengths in the coupled system presented in this paper. With variation of the coupled strengths, the coupled system exhibits rich dynamical phenomena such as periodic anti-synchronization, complete synchronization, amplitude death, and asynchronous reluctance. The amplitude death is a phenomenon that can be stabilized into fixed points. The attracting regimes of the coupled system are analyzed. Due to the coexistence of multiple attractors, the coupled system can be controlled to different stable fixed points with different initial conditions. The multiplicity of the operating regime is enriched. The secure operation of the system can also be maintained.