Invariants of polynomial vector fields

被引：1

作者：

Llibre, Jaume ^{[1
]}

Valls, Claudia ^{[2
]}

机构：

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

[2] Univ Lisbon, Dept Matemat, Inst Super Tecn, Av Rovisco Pais 1049-001, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 365卷

基金：

欧盟地平线“2020”;

关键词：

Polynomial systems; Invariants; First integrals; Involutions; 1ST INTEGRALS; ALGEBRAIC-CURVES; INTEGRABILITY; FOLIATIONS;

D O I：

10.1016/j.jde.2023.05.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页码：895 / 904

页数：10

共 18 条

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