Limit Cycles of Polynomially Integrable Piecewise Differential Systems

被引：1
|
作者：
Garcia, Belen [1 ]
Llibre, Jaume [2 ]
del Rio, Jesus S. Perez [1 ]
Perez-Gonzalez, Set [1 ]
机构：
[1] Univ Oviedo, Dept Matemat, Avda Calvo Sotelo s n, Oviedo 33007, Spain
[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain
来源：
AXIOMS | 2023年 / 12卷 / 04期
基金：
欧盟地平线“2020”;
关键词：
algebraic limit cycle; piecewise differential system; polynomial integrable systems; NUMBER;
D O I：
10.3390/axioms12040342
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides. We assume that at least one of the systems is Hamiltonian. Under this assumption, piecewise differential systems have no more than one limit cycle. This study characterizes linear differential systems with polynomial first integrals.
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收藏
页数：19
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