Bifurcation behaviors generated by panda-ring control circuit

Abstract

We have demonstrated that the bifurcation patterns can generate by the double Panda-ring resonator system, where the first system is configured as the input source, while the second system is the feedback control systems. The key concept of the proposal is the two nonlinear side ring resonators that can induce the nonlinear Kerr effect into the center ring. The feedback signals generated from the second ring will induce into the first Panda-ring, from which the required bifurcation behaviors are obtained. By adjusting the suitable parameters, the simulation results obtained have shown that there are the various exciting bifurcation behaviors in both systems that can be used for the applications such as textile pattern design, information security, and biosensors.