Chaos controlling and its driving responses in external injected semiconductor lasers

In this paper, the driving equation about chaotic controlling in injected semiconductor lasers has been presented with periodic driving modulation, which is beaten oscillation. Under suitable modulation depths and frequencies, we can effectively control the lasing chaos into stable periodic orbits (limit cycles) and convert the lasing chaotic oscillations frequencies onto the modulation frequencies. It is found that the transient driving response to chaotic oscillations can be all very fast with different modulation driving frequencies.