Bifurcation in two spatial coupled different semiconductor lasers

Two spatial coupled different lasers with different parameters are studied and their physical model is presented while the two coupled lasers are very interested to show a great nonlinear dynamical variety using bifurcation diagrams of the two lasers. We study dynamics and focus on bifurcation of the two coupled lasers. We show how the bifurcation of the two lasers to vary as the main parameter shift while a route to chaos from bifurcation can be analyzed by varying one parameter of the two lasers, and we analyze what kind of effects of the coupling factor, the current, the photon loss rate, the linewidth enhancement factor and the frequency detuning on dynamics behaviors of the two lasers. Presented bifurcation diagrams show all processes of bifurcation, passing stabilization to period-doubling, unstabilization, chaos, quasi-period. We discuss how the two lasers becoming to go away from chaos to evolve to a stably-state via varying one parameter of the two lasers, such as the lasers becomes of going away from chaos to follow a route to a period-doubling after a quasi-period and a period-tripling. And we point out bifurcation point and find a stable region, a periodic region, a double-periodic region, quasi-periodic region, an unstable region, a chaotic region. The obtained result is of great significance to study laser dynamics, nonlinear optics, chaos of coupled lasers, and ultra-wideband signal generator.