Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224122 | Journal of Differential Equations | 2018 | 30 Pages |
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 Poincaré disc.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hebai Chen, Sen Duan, Yilei Tang, Jianhua Xie,