具时滞全局耦合相振子模型的稳定性

The Stability of Globally Coupled Phase Oscillators System with Delay

在耦合强度和延迟反馈强度存在的条件下,研究具时滞全局耦合相振子延迟反馈模型,通过对其特征值分布的讨论,对模型的稳定性进行分析,讨论周期解的存在性及Hopf分支发生的条件.

Under the condition of coupling intensity and delayed feedback,a kind of globally coupled phase oscillators system with time delay is considered.By analzing the distribution of the roots to the associated characteristic equation,the existence of the periodic solution for the system and the Hopf branch conditions are investigated.