Darboux theory of integrability in T n

被引：0
|
作者：
Llibre, Jaume [1 ]
Valls, Claudia [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain
[2] Univ Lisbon, Dept Matemat, Inst Super Tecn, Ave Rovisco Pais, P-1049001 Lisbon, Portugal
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2024年 / 10卷 / 02期
关键词：
Darboux integrability; Tori; Invariant algebraic variety; Exponential factor; INVARIANT ALGEBRAIC-CURVES; 1ST INTEGRALS;
D O I：
10.1007/s40879-024-00737-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop the Darboux theory of integrability for polynomial vector fields in the n-dimensional torus T-n . We also provide the maximum number of invariant parallels and meridians that a polynomial vector field X on T-n can have in function of its degree.
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页数：17
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