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author:

Zou, C. (Zou, C..) [1] | Yang, J. (Yang, J..) [2]

Indexed by:

Scopus

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∈N, the system has exactly n limit cycles; and all the limit cycles are hyperbolic. © 2017 Elsevier Inc.

Keyword:

Analytic curve; Limit cycle; Piecewise linear differential system

Community:

  • [ 1 ] [Zou, C.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350116, China
  • [ 2 ] [Yang, J.]School of Mathematical Sciences, Peking University, Beijing, 100871, China

Reprint 's Address:

  • [Yang, J.]School of Mathematical Sciences, Peking UniversityChina

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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 HC Threshold:68

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 11

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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