On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation

被引：11

作者：

Han, Maoan ^{[1
,2
]}

Llibre, Jaume ^{[3
]}

Yang, Junmin ^{[4
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[3] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[4] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 09期

关键词：

Bogdanov-Takens bifurcation; limit cycle; VECTOR-FIELDS; SYSTEMS; EQUATIONS; NUMBER; HOPF;

D O I：

10.1142/S0218127418501158

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a complete study of the well-known Bogdanov-Takens bifurcation and give a rigorous proof for the uniqueness of limit cycles.

引用

页数：12

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