Delay Induced Resonances in a System of Coherent Interaction of Lasers

作者：Sun X T^*; Xu J

来源：Journal of Vibration Engineering & Technologies, 2014, 2(2): 141-156.

• Time delay
• Vibration absorbers
• Nonlinearity
• Bifurcations
• Vibration control

A system of coherent interaction of lasers is molded as limit cycle oscillators with delay coupling. The coupled delay is considered as an important factor to study its effect on dynamics of the coherent interaction lasers. The delay induced resonant double-Hopf bifurcation is found. The perturbation incremental scheme (PIS) is employed to predict analytically various motions derived from the resonance. It is seen that the system exhibits different coherent motions with different mode frequencies, including synchronization and amplitude death regions and showing effects of the coupled delay and strength on the system. The analytical prediction is verified by the numerical simulation. The present results may be applied to design the synchronization of the coherent laser so that the optical dense may be increasing. On the other hand, an inappropriate choice for the coupled delay and strength will lead to the amplitude death or other non-synchronous and multi-stable motions which will reduce the efficiency of the information transmission in the system under consideration. The results show also that there exists the amplitude death in limit cycle oscillators with delay coupling. Such phenomenon will disappear without the delay coupling.

• 出版日期2014-4
• 单位同济大学