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具有三重零奇异的时滞微分方程的分支

具有三重零奇异的时滞微分方程的分支

ISSN:1000-8314
2010年第31卷第1期
乔志琴,刘兴波,朱德明 QIAO Zhiqin,LIU Xingbo and ZHU Deming

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.

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 in[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]are employed to analyze the bifurcation behavior of the ...

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ISSN:1000-8314
2010年第31卷第1期

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