Time-reversibility and integrability of p : -q resonant vector fields

被引：0

作者：

Gine, Jaume ^{[1
]}

Romanovski, Valery G. ^{[2
,3
,4
]}

Torregrosa, Joan ^{[5
,6
]}

机构：

[1] Univ Lleida, Dept Matemat, Ave Jaume II,69, Lleida 25001, Catalonia, Spain

[2] Univ Maribor, Fac Elect Engn & Comp Sci, Koroska Cesta 46, SI-2000 Maribor, Slovenia

[3] Univ Maribor, Ctr Appl Math & Theoret Phys, Mladinska 3, SI-2000 Maribor, Slovenia

[4] Univ Maribor, Fac Nat Sci & Math, Koroska Cesta 160, SI-2000 Maribor, Slovenia

[5] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain

[6] Ctr Recerca Matemat, Campus Bellaterra, Barcelona 08193, Catalonia, Spain

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

planar systems of ODEs; time-reversibility; integrability; resonant singularity; SYSTEMS;

D O I：

10.3934/math.2024005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the local analytical integrability in a neighborhood of p : -q resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non smooth involution phi(x, y) = (yp/q, xq/p). Some generalizations of the theory developed by Sibirsky for the 1 : -1 resonant case to the p : -q resonant case are presented.

引用

页码：73 / 88

页数：16

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