双时滞同步振荡子模型的稳定性和Hopf分岔研究

曲靖师范学院学报 ›› 2016, Vol. 35 ›› Issue (6): 14-19.

双时滞同步振荡子模型的稳定性和Hopf分岔研究

李成仙,刘海鸿

云南师范大学数学学院,云南昆明 650500

收稿日期:2016-10-22 出版日期:2016-11-26
作者简介:李成仙,云南师范大学数学学院硕士研究生,主要从事非线性动力学研究.

Stability and Bifurcation Analysis of Synchronized Oscillations with Two Time Delays

Li Chengxian, Liu Haihong

School of Mathematics, Yunnan Normal University, Kunming Yunnan 650500, P. R. China

Received:2016-10-22 Published:2016-11-26

摘要/Abstract

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.

关键词: 同步振荡子, 时滞, 稳定性, Hopf分岔, 周期解

Abstract: The dynamics of synchronized oscillations with two time delays is discussed. The asymptotic stability 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 simulations are carried out to support our theoretical analysis.

Key words: synchronized oscillations, time delays, stability, Hopf bifurcation, periodic solution

中图分类号:

O175.14

李成仙,刘海鸿. 双时滞同步振荡子模型的稳定性和Hopf分岔研究[J]. 曲靖师范学院学报, 2016, 35(6): 14-19.

Li Chengxian, Liu Haihong. Stability and Bifurcation Analysis of Synchronized Oscillations with Two Time Delays[J]. JOURNAL OF QUJING NORMAL UNIVERSITY, 2016, 35(6): 14-19.

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