| 具有三重零奇异的时滞微分方程的分支 |
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| 引用本文： | 乔志琴,刘兴波,朱德明.具有三重零奇异的时滞微分方程的分支[J].数学年刊A辑(中文版),2010,31(1):59-70. |
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| 作者姓名： | 乔志琴 刘兴波 朱德明 |
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| 作者单位： | 华东师范大学数学系; |
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| 基金项目： | 国家自然科学基金(No.10671069,No.10801051); 上海市重点学科建设基金(No.B407)资助的项目 |
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| 摘 要： | 主要研究三重零奇异的判定和在R~n上零特征根对应的广义特征空间,利用中心流形简化和规范型计算得到参数时滞微分方程的简化形式,对应于文A note on the triple zero linear degeneracy:Normal forms,dynamical and bifurcation behaviour of an unfolding.Int J Bifur and Chaos,2002,12:2799-2820]中的结果具体分析具有三重零奇异的参数时滞微分方程的分支行为,并给出一例子来阐述得到的结果.
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| 关 键 词： | 三重零奇异 时滞微分方程 Takens-Bogdanov分支 Hopf-zero分支 |
Bifurcation in Delay Differential Systems with Triple-Zero Singularity |
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| QIAO Zhiqin,LIU Xingbo and ZHU Deming.Bifurcation in Delay Differential Systems with Triple-Zero Singularity[J].Chinese Annals of Mathematics,2010,31(1):59-70. |
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| Authors: | QIAO Zhiqin LIU Xingbo and ZHU Deming |
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| Institution: | QIAO Zhiqin~1 LIU Xingbo~1 ZHU Deming~1 1 Department of Mathematics,East China Normal University,Shanghai 200241,China. |
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| Abstract: | The paper is devoted to the determination of triple-zero singularity and the generalized eigenspace associated with zero eigenvalues in R~n.A concrete reduced form for parameterized delay differential systems is obtained by using center manifold reduction and normal form calculation.The results given inA note on the triple zero linear degeneracy: Normal forms,dynamical and bifurcation behaviour of an unfolding.Int J Bifur and Chaos, 2002,12:2799-2820]are employed to analyze the bifurcation behavior of the ... |
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| Keywords: | Triple-zero singularity Delay differential system Takens-Bogdanov bifurcation Hopf-zero bifurcation |
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