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author:

Zou, Changwu (Zou, Changwu.) [1] (Scholars:邹长武) | Yang, Jiazhong (Yang, Jiazhong.) [2]

Indexed by:

Scopus SCIE

Abstract:

In this paper, we show the existence of piecewise linear differential system with two zones in the plane having the following features: it has a center and a saddle singularity point in each region; the boundary of the zones is an analytic curve; for any given positive integer n is an element of N, the system has exactly n limit cycles; and all the limit cycles are hyperbolic. (C) 2017 Elsevier Inc. All rights reserved.

Keyword:

Analytic curve Limit cycle Piecewise linear differential system

Community:

  • [ 1 ] [Zou, Changwu]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Yang, Jiazhong]Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

Reprint 's Address:

  • [Yang, Jiazhong]Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

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Related Keywords:

Source :

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN: 0022-247X

Year: 2018

Issue: 1

Volume: 459

Page: 453-463

1 . 1 8 8

JCR@2018

1 . 2 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:68

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 10

SCOPUS Cited Count: 11

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

Online/Total:29/10116818
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