吉林大学学报（理学版）2016，Vol.54Issue(4)：685-694,10.DOI:10.13413/j.cnki.jdxblxb.2016.04.03
具多时滞合作系统的稳定性与 Hopf 分支
Stability and Hopf Bifurcation of a Cooperative System with Multiple Time Delays
摘要
Abstract
For a class of cooperative systems with three discrete time delays,with two combinations of three time delays τ1 ,τ2 ,τ as bifurcation parameters, based on the analysis of the root of the characteristic equation and the standard theory,we investigated the stability of equilibrium points and the sufficient conditions of local Hopf bifurcation in two cases,and obtained the algorithms and calculation formulas for determining the stability and bifurcation direction of the bifurcation periodic solutions.We gave the theoretical proof of the existence of global Hopf bifurcation,and the existence of bifurcation periodic solutions from local to global can be verified by numerical simulations.关键词
合作系统/时滞/稳定性/局部 Hopf 分支/全局 Hopf 分支Key words
cooperative system/time delay/stability/local Hopf bifurcation/global Hopf bifurcation分类
数学引用本文复制引用
吕堂红,周林华,高瑞梅..具多时滞合作系统的稳定性与 Hopf 分支[J].吉林大学学报（理学版）,2016,54(4):685-694,10.基金项目
国家自然科学基金(批准号:11326078 （）
11501051 （）
11426045)、吉林省自然科学基金(批准号:201115161)和长春理工大学科技创新基金(批准号:XJJLG 2014-01) （批准号:201115161）
