Limit cycles of polynomial Lienard systems

被引：8
|
作者：
Llibre, J [1 ]
Pizarro, L
Ponce, E
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
[2] ES Ingenieros Camino Descubrimientos, Dept Matemat Aplicada 2, Seville 41092, Spain
来源：
PHYSICAL REVIEW E | 1998年 / 58卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.58.5185
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
Recently [H. Giacomini and S. Neukirch, Phys. Rev. E 56, 3809 (1997)], an algorithm to obtain the number of limit cycles of Lienard systems has been proposed. The quoted paper also includes a method to approximate the eventual limit cycles and a conjecture on the behavior of the algorithm. The algorithm is reviewed and some examples, which show that the algorithm is really efficient, are given. However, these examples indicate that the aforementioned conjecture may have been incorrectly stated. A different conjecture is proposed and some open questions are formulated. [S1063-651X(98)16809-5].
引用
收藏
页码：5185 / 5187
页数：3
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