Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields

被引：0
|
作者：
Garcia, Isaac A. [1 ]
Maza, Susanna [1 ]
机构：
[1] Univ Lleida, Dept Matemat, Avda Jaume II 69, Lleida 25001, Spain
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 130卷
关键词：
Planar vector fields; Inverse Jacobi multiplier; Periodic orbit; EXISTENCE; R-3;
D O I：
10.1016/j.cnsns.2023.107735
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze the role that non-autonomous (and not necessarily periodic) inverse Jacobi multipliers have in the problem of the nonexistence, existence and localization as well as the hyperbolic nature of periodic orbits of planar vector fields. This work generalizes and extends previous results already appearing in the literature which are only focusing in the autonomous or periodic case. Therefore we are able to provide novel applications of inverse Jacobi multipliers.
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页数：5
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