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时滞系统稳定性与Hopf分岔的迭代法
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时滞系统稳定性与Hopf分岔的迭代法
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王在华
作者信息
    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
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王在华
Applications of Iterative Methods to Studies on Stability and Hopf Bifurcation of Time-Delay Systems
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    出版时间: 2009-01-28
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    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。
    时滞系统  /  稳定性  /  Hopf分岔  /  迭代法
    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.
    王在华. 时滞系统稳定性与Hopf分岔的迭代法. 科技导报, 2009 , 27 (0902) : 62 -65 .
    . Applications of Iterative Methods to Studies on Stability and Hopf Bifurcation of Time-Delay Systems[J]. Science & Technology Review, 2009 , 27 (0902) : 62 -65 .

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    2种不同金属材料的力学参数

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    鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
    小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
    多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
    红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
    小菇属 Mycena 11 5.26
    光柄菇属 Pluteus 5 2.39
    红菇属 Russula 17 8.13
    栓菌属 Trametes 5 2.39
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