| 高维动力系统Hopf分岔点的确定 |
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| 引用本文： | 刘庆华.高维动力系统Hopf分岔点的确定[J].北京化工大学学报(自然科学版),1994(1). |
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| 作者姓名： | 刘庆华 |
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| 作者单位： | 北京化工学院应用数理系 |
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| 摘 要： | Ｒｏｕｔｈ—Ｈｕｒｗｉｔｚ判别法对于低维动力系统Ｈｏｐｆ分岔点的分析是方便的，但对高维动力系统的讨论是相当复杂．作者通过直接应用Ｈｏｐｆ分岔定理．得到了Ｈｏｐｆ分岔点满足的一般性参数方程．
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| 关 键 词： | 动力系统 Hopf分岔 Routh—Hurwitz判别法 |
Determination of Hopf Bifurcation Points of High Dimensional Dynamical Systems |
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| Liu Qinghua.Determination of Hopf Bifurcation Points of High Dimensional Dynamical Systems[J].Journal of Beijing University of Chemical Technology,1994(1). |
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| Authors: | Liu Qinghua |
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| Abstract: | The determination of parameter conditions for Hopf bifurcation points of dynamical system is usually carried out by using Routh-Hurwitz method.This method is convenient for the analysis of Hopf bifurcation poins of the low dimensional dynamical systems but is complicated for those of high ones,By directly applying the Hopf bifurcation theorem,a general parameter equation which is satisfied by the Hopf bifurcation points is identified. |
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| Keywords: | dynamical system Hopf bifurcation Routh-Hurwitz method |
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