| 具有指数型弱耦合时滞系统的同步分支周期解 |
| |
| 引用本文： | 冯海星,朱道军,杜鹃.具有指数型弱耦合时滞系统的同步分支周期解[J].南昌大学学报(理科版),2009,33(4):1. |
| |
| 作者姓名： | 冯海星 朱道军 杜鹃 |
| |
| 作者单位： | 山西财经大学应用数学系； 南昌大学数学系； 山西农业大学经贸学院； |
| |
| 基金项目： | 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) |
| |
| 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。
|
| 关 键 词： | 时滞 稳定性 Floquet指数 分支周期解 弱耦合 |
Stability Analysis of Synchronous Bifurcating Periodic Solutions in a Weakly Coupled System with Time Delays |
| |
| FENG Hai-xing,ZHU Dao-jun,DU Juan.Stability Analysis of Synchronous Bifurcating Periodic Solutions in a Weakly Coupled System with Time Delays[J].Journal of Nanchang University(Natural Science),2009,33(4):1. |
| |
| Authors: | FENG Hai-xing ZHU Dao-jun DU Juan |
| |
| Institution: | 1.Department of Applied Math;Shanxi University of Finance and Economics;Taiyuan;030006;China;2.Department of Mathematics;Nanchang University;Nanchang 330031;3.College of Economics and Trade;Shanxi Agricultural University;Taigu 030801;China |
| |
| Abstract: | 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. |
| |
| Keywords: | weakly coupling time delay bifurcatieg periodic solution Floquet exponent stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《南昌大学学报(理科版)》浏览原始摘要信息 |
| 点击此处可从《南昌大学学报(理科版)》下载免费的PDF全文 |
