Phases in a General Chaotic Three-Coupled-Laser Array

Phases in a general chaotic three-coupled-laser array are numerically investigated. Phase attractors are firstly found to exist within corresponding basins of attraction on the projection plane of phase differences of the three-coupled-laser array. Whether the chaos appears or not is related not only to the coupling strength but also to the initial phase differences. For a large coupling strength new phase attractors can occur. With the increase of coupling strength, the three-coupled-laser array has a great chance of resulting in a quiescent to chaotic state. Based on these results, we present the method to reach phase-locking when the coupling strength is strong.