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Stability and Hopf Bifurcation of a Differential Delay System

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
2
DOI:
10.3969/j.issn.1001-9626.2002.02.004
Key Word:
时滞微分系统;稳定性;Hopf分支;Differential delay systems;Stability;Hopf bifurcation

Abstract: Some algebraic criteria for absolute stability (the stability is indepen-dent of the delay) of an equilibrium of a special 3-dimensional differential delay systemare given. Also, the conditions under which the systems have a Hopf bifurcation areobtained. Two examples are discussed to show that the theorems are used easily.

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