Proof of Artes-Llibre-Valls's conjectures for the Higgins-Selkov and the Selkov systems
发布时间：2019-07-11
点击次数：
发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS
刊物所在地：ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
关键字：Limit cycle; Higgins-Selkov system; Selkov system; Lienard system
摘要：The aim of this paper is to prove Artes-Llibre-Valls's conjectures on the uniqueness of limit cycles for the Higgins-Selkov system and the Selkov system. In order to apply the limit cycle theory for Lienard systems, we change the Higgins-Selkov and the Selkov systems into Lienard systems first. Then, we present two theorems on the nonexistence of limit cycles of Lienard systems. At last, the conjectures can be proven by these theorems and some techniques applied for Lienard systems.
第一作者：Chen Hebai
论文类型：基础研究
通讯作者：Tang Yilei
论文编号：10.1016/j.jde.2018.12.011
学科门类：数学
文献类型：J
卷号：266
期号：11
页面范围：7638-7657
ISSN号：0022-0396
是否译文：否
发表时间：2019-05-19