ORBITALLY SYMMETRIC SYSTEMS WITH APPLICATIONS TO PLANAR CENTERS

被引：4

作者：

Bastos, Jefferson L. R. ^{[1
]}

Buzzi, Claudio A. ^{[1
]}

Torregrosa, Joan ^{[2
,3
]}

机构：

[1] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, Brazil

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain

[3] Ctr Recerca Matemat, Campus Bellaterra, Barcelona 08193, Spain

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 10期

基金：

巴西圣保罗研究基金会; 欧盟地平线“2020”;

关键词：

Symmetry; reversibility; equivariance; involution; centers; local cyclicity; limit cycles; LOCAL CYCLICITY; LOWER BOUNDS; BIFURCATION;

D O I：

10.3934/cpaa.2021107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a generalization of the most usual symmetries in differential equations known as the time-reversibility and the equivariance ones. We check that the typical properties are also valid for the new definition that unifies both. With it, we are able to present new families of planar polynomial vector fields having equilibrium points of center type. Moreover, we provide the highest lower bound for the local cyclicity of an equilibrium point of polynomial vector fields of degree 6, M(6) >= 48.

引用

页码：3301 / 3329

页数：29

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