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author:

Chen, Hebai (Chen, Hebai.) [1] | Duan, Sen (Duan, Sen.) [2] | Tang, Yilei (Tang, Yilei.) [3] | Xie, Jianhua (Xie, Jianhua.) [4]

Indexed by:

Scopus SCIE

Abstract:

The global dynamics of a mechanical system with dry friction is completely analyzed. This mechanical system is a class of discontinuous and transcendental piecewise smooth differential systems. Moreover, it can exhibit rich and complex dynamical phenomena, such as Hopf bifurcation, grazing bifurcation, grazing-sliding bifurcation and bifurcations of limit cycles. Finally, all global phase portraits of the system are presented on the Poincare disc. (C) 2018 Elsevier Inc. All rights reserved.

Keyword:

Discontinuous piecewise differential system Global phase portrait Grazing bifurcation Grazing-sliding bifurcation Limit cycle

Community:

  • [ 1 ] [Chen, Hebai]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Chen, Hebai]Univ Fujian, Key Lab Operat Res & Control, Fuzhou 350116, Fujian, Peoples R China
  • [ 3 ] [Duan, Sen]Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
  • [ 4 ] [Tang, Yilei]Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
  • [ 5 ] [Xie, Jianhua]Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, 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: 2018

Issue: 11

Volume: 265

Page: 5490-5519

1 . 9 3 8

JCR@2018

2 . 4 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:68

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 36

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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