Hopf bifurcations by perturbing a class of reversible quadratic systems

被引：2

作者：

Zhang, Huihui ^{[1
]}

Xiong, Yanqin ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 170卷

关键词：

Hopf bifurcation; Reversible system; Melnikov function; ABELIAN-INTEGRALS; LIMIT-CYCLES; PERIODIC-ORBITS; ALMOST-ALL; GENUS ONE; CENTERS; NUMBER; PERTURBATIONS; ZEROS;

D O I：

10.1016/j.chaos.2023.113309

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper first investigates the dynamical behavior of a class of reversible quadratic systems, providing all possible phase portraits on the plane. Then, we use generalized Melnikov function method to study the Hopf bifurcation of reversible quadratic systems under the perturbation of piecewise quadratic systems, finding 4 more limit cycles than the smooth case.

引用

页数：7

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