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一个时滞微分系统的稳定性与Hopf分支(英文) 被引量:6

Stability and Hopf Bifurcation of a DifferentialDelay System
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摘要 给出了一个三维时滞微分系统的平衡点的全时滞稳定的代数判据,也讨论并给出了这个系统存在Hopf分支的条件,两个例子说明了本文定理的应用. Some algebraic criteria for absolute stability (the stability is independent of the delay) of an equilibrium of a special 3-dimensional differential delay system are given. Also, the conditions under which the systems have a Hopf bifurcation are obtained. Two examples are discussed to show that the theorems are used easily.
作者 李 林
出处 《生物数学学报》 CSCD 2002年第2期157-164,共8页 Journal of Biomathematics
关键词 时滞微分系统 稳定性 HOPF分支 Differential delay systems Stability Hopf bifurcation
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参考文献7

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