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时滞系统稳定性与Hopf分岔的迭代法 被引量：1

Applications of Iterative Methods to Studies on Stability and Hopf Bifurcation of Time-Delay Systems
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摘要 简要综述了迭代法在时滞系统稳定性与Hopf分岔研究中的若干新进展。在稳定性分析中,利用Lambert W函数,时滞系统的最大实部特征根可以用Newton-Raphson等迭代法求得。而在Hopf分岔分析中,利用迭代法求得了分岔周期解的近似表达式。对这两个问题,迭代法简便有效。 This paper presents a brief review on the recent advances in applications of iterative methods to studies on stability and Hopf bifurcation of time-delay systems. In stability analysis, the Newton-Raphson iterative method is used to calculate the rightmost characteristic root（s）, with the help of the Lambert W function. In Hopf bifurcation analysis, the iterative method is applied for finding an approximate solution of the bifurcated periodic solution. In both cases, the iterative methods are very effective.
作者 王在华
机构地区 中国人民解放军理工大学理学院 南京航空航天大学航空宇航学院
出处 《科技导报》 CAS CSCD 北大核心 2009年第2期62-65,共4页 Science & Technology Review
基金 国家自然科学基金项目(10825207 10532050) 全国优秀博士学位论文作者专项基金项目
关键词 时滞系统 稳定性 HOPF分岔 迭代法 time-delay systems stability Hopf bifurcation iterative method
分类号 O317 [理学—一般力学与力学基础] O322 [理学—一般力学与力学基础]
  • 相关文献

参考文献20

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共引文献7

同被引文献24

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二级引证文献19

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2009年 第2期

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