Multistability and complex dynamics in coupled semiconductor lasers with time-delayed feedback

We investigate complex dynamics of two coupled nonidentical Land-Kobayashi oscillators. It is shown that at low values of feedback rate variation of delay only leads to alternation of periodic and stationary regimes. The analysis of characteristic regimes of the system in a wide range of parameters is provided. We demonstrate that the system under study is multistable. With the variation of control parameters sole fixed point repeatedly undergoes supercritical Andronov-Hopf bifurcations, which leads to an increase in the number of limit cycles co-existing in the phase space. It is shown that multistable states are formed by different combinations of the periodic, quasi-periodic and chaotic regimes.