时间延迟耦合振荡器模型的稳定性及多重周期解

摘要

在角频率相同的条件下,研究一种具有时间延迟耦合的两振荡器模型,通过对其特征值分布的讨论,对模型的稳定性进行分析,讨论多重周期解的存在性,最后进行了数值仿真.%Coupled oscillator systems with delayed feedback is considered, when angular frequency is a constant.By analyzing the distribution of the roots to the associated characteristic equation, stability and the existence of multiple periodic solutions are investigated.Some numerical simulations are carried out to illustrate the obtained resuits.