Regular and Chaotic Transition to Synchrony in a Star Configuration of Phase Oscillators

摘要: We consider two finite-dimensional models of the phase oscillators in case star configuration coupling. Both systems equations are reduced to a nonlinearly coupled system pendulum equations. prove that transition from synchronous asynchronous oscillations occurs via bifurcation saddle-node equilibrium. In this connection regime can be partially rotations. find reverse homoclinic orbit both saddle equilibrium point and periodic orbit. loop synchrony appears only mode without synchronized curve undergoes chaotic rotation which results random return synchrony.