Multiple-dynamics behavior of two coupling semiconductor lasers synchronizes with that of another laser

The synchronization of complex dynamic systems is a hot topic in scientific research. Thus, this paper focuses on the synchronization of two different laser systems and studies the multiple-dynamics behavior of two coupling lasers synchronizing with that of another laser, and present a physical model of the multiple-dynamics synchronization. Two routes to chaos after bifurcation from two stable states are illustrated by controlling one current of the two coupling lasers while the two coupling lasers are found to produce great nonlinear dynamics behaviors via their bifurcation diagrams. And this paper discusses the detailedly multiple-dynamics distribution of the two coupling lasers, where there is a stable-state region, a single-period region, a quasi-period region, and a chaotic region. Our work performs how multiple-dynamics of the two coupling lasers synchronize with that of another laser by controlling one current of the two coupling lasers. Then, multiple dynamics behaviors of the two coupling lasers synchronizations are obtained with that of another laser, such as a single-period synchronization, a period-doubling synchronization, a period-4 synchronization, a period-5 synchronization, other quasi-period synchronization, and a chaotic synchronization. The obtained results are of great significance to study laser physics, optics, synchronizations of two optical dynamic systems, a chaotic laser, and its application.