双时滞同步振荡子模型的稳定性和Hopf分岔研究  

Stability and Bifurcation Analysis of Synchronized Oscillations with Two Time Delays

作　　者：李成仙[1] 刘海鸿[1] 

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《曲靖师范学院学报》2016年第6期14-19,共6页Journal of Qujing Normal University

摘　　要：讨论双时滞同步振荡子模型的动力学行为.在正平衡点处对模型进行线性化,并通过分析相应的特征方程来研究模型正平衡点的渐近稳定性和Hopf分岔的条件;对模型进行数值模拟检验所得结果的正确性.The dynamics of synchronized oscillations with two time delays is discussed. The asymptotic sta- bility of the positive equilibrium is investigated and Hopf bifurcations are demonstrated through linearizing the model at the positive equilibrium and analyzing the associated characteristic equation. Numerical simula- tions are carried out to support our theoretical analysis.

关 键 词：同步振荡子 时滞 稳定性 HOPF分岔 周期解 

分 类 号：O175.14[理学—数学]