Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
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Articles
Xia Liu
Henan Normal University, China
Jingling Wang
Southeast University, China
Published 2016-11-25
https://doi.org/10.15388/NA.2016.6.1
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Keywords

differential system
delays
Bogdanov–Takens bifurcation
triple zero bifurcation
normal form

How to Cite

Liu, X. and Wang, J. (2016) “Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays”, Nonlinear Analysis: Modelling and Control, 21(6), pp. 731–750. doi:10.15388/NA.2016.6.1.

Abstract

This paper mainly concerns the derivation of the normal forms of the Bogdanov–Takens (BT) and triple zero bifurcations for differential systems with m discrete delays. The feasible algorithms to determine the existence of the corresponding bifurcations of the system at the origin are given. By using center manifold reduction and normal form theory, the coefficient formulas of normal forms are derived and some examples are presented to illustrate our main results.

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