A bifurcation analysis of planar nilpotent reversible systems

被引：5

作者：

Algaba, A. ^{[1
]}

Freire, E. ^{[2
]}

Gamero, E. ^{[2
]}

Garcia, C. ^{[1
]}

机构：

[1] Univ Huelva, Fac Ciencias, Dept Math, Huelva, Spain

[2] Univ Seville, Dept Appl Math 2, ETSI, Seville, Spain

来源：

NONLINEAR DYNAMICS | 2017年 / 87卷 / 02期

关键词：

Takens-Bogdanov bifurcation; Reversible systems; Teixeira singularity; 2-FOLD SINGULARITY; NORMAL FORMS;

D O I：

10.1007/s11071-016-3082-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we present a bifurcation analysis for planar nilpotent reversible systems with an equilibrium point located at the origin. We study candidates for the universal unfoldings of the codimension-one non-degenerate cases, as well as a pair of codimension-two degenerate cases, and a codimension-three degenerate case, where a rich bifurcation scenario is pointed out.

引用

页码：835 / 849

页数：15

共 23 条

[1] An algorithm for computing quasi-homogeneous formal normal forms under equivalence [J].