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[期刊论文]

Proof of Artes-Llibre-Valls's conjectures for the Higgins-Selkov and the Selkov systems

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author:

Chen, Hebai (Chen, Hebai.) [1] | Tang, Yilei (Tang, Yilei.) [2]

Indexed by:

Scopus SCIE

Abstract:

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. (C) 2018 Elsevier Inc. All rights reserved.

Keyword:

Higgins-Selkov system Lienard system Limit cycle Selkov system

Community:

  • [ 1 ] [Chen, Hebai]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Chen, Hebai]Fuzhou Univ, Key Lab Operat Res & Control Univ Fujian, Fuzhou 350116, Fujian, Peoples R China
  • [ 3 ] [Tang, Yilei]Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

Reprint 's Address:

  • [Tang, Yilei]Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

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Source :

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 0022-0396

Year: 2019

Issue: 11

Volume: 266

Page: 7638-7657

2 . 1 9 2

JCR@2019

2 . 4 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:59

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 6

30 Days PV: 1

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