摘要
利用F loquet指数理论,研究了一类弱耦合时滞系统的参数在不同情况下同步分支周期解的稳定性。分别讨论了非耦合时滞系统分支周期解的存在性,稳定性及其近似表达式。通过实例利用MATLAB给出模型分支周期解的仿真图形,并分析了各参数对图形的影响。
The stability of synchronous bifurcating periodic solutions is studied for a weakly coupled system with time delay at all kinds of solutions using the theory of Floquet exponent.For non-coupled system with time delay,theexistence,aysmptotic stability and the approximatc form of the bifurcation periodic solutions are also discussed.Meanwhile,the effect of graphics about par ameters are analysed according to the graphics of bifurcating periodic solutions that given by MATLAB.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2009年第4期329-336,340,共9页
Journal of Nanchang University(Natural Science)
基金
山西省自然科学基金资助项目(2008011002-3)
山西农业大学科技创新基金资助项目(2004057)
关键词
弱耦合
时滞
分支周期解
Floquet指数
稳定性
weakly coupling
time delay
bifurcatieg periodic solution
Floquet exponent
stability
