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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.
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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:
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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