Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays

Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
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DOI:
10.15388/na.2016.6.1
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发表时间:
2016-12
影响因子:
2
通讯作者:
Xia Liu;Jing-Lin Wang
Xia Liu;Jing-Lin Wang
中科院分区:
数学4区
文献类型:
--
作者:
Xia Liu;Jing-Lin Wang

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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.