Synchronized attractors and phase entrained with cavity loss of the coupled laser’s map

The laser differential equations are transformed into identical coupled maps. The laser cavity losses are studied analytically and numerically which provide important results. Phase and spatiotemporal synchronized attractors are observed via quasi-chaos under a certain range of control parameters, and symmetry breaking of chaotic attractors occur due to collisions with their basin boundaries, and transpire differently from the previous attractors. During the numerical simulations it is found that the sequence of strange attractors repeats with further increase in the coupling strength, which are orthogonal mirror images (the dynamics of the system are the same at different values of control parameters). Moreover, this article provides a technique to develop the lasing system which can be stable for not only large values of controlling parameters but also when there exists thermal fluctuation