Small-Amplitude Limit Cycles of Certain Planar Differential Systems

被引：2
|
作者：
Gine, Jaume [1 ]
Valls, Claudia [2 ]
机构：
[1] Univ Lleida, Dept Matemat, Avda Jaume II,69, Lleida 25001, Catalonia, Spain
[2] Univ Lisbon, Inst Super Tecn, Dept Matemat, Ave Rovisco Pais, P-1049001 Lisbon, Portugal
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2020年 / 19卷 / 02期
关键词：
Lienard systems; Center problem; Order of a focus; CENTERS;
D O I：
10.1007/s12346-020-00389-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider the polynomial differential system.x = - y + x f ( y),.y = x + y f (x), where f is a polynomial. This system is a certain generalization of the classical Lienard system. For that system, we solve the center problem for such family and compute the order of degeneracy of a weak focus for obtaining the maximum number of small-amplitude limit cycles.
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页数：7
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