Reactive Coupling Effects on Amplitude Death of Coupled Limit-Cycle Systems

Amplitude death in coupled limit-cycle systems induced by the reactive coupling is studied. The presence of reactive coupling parameter changes the amplitude death process of the system, and increases the critical coupling strength for the emergence of amplitude death. When the systems are in the state of complete or partial amplitude death, increasing the reactive coupling will increase the number of partial synchronization groups, implying the increase of disorder of the system. Increasing the reactive coupling makes the elimination of the amplitude death of the systems harder.