Global dynamics of a mechanical system with dry friction

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Chen, Hebai^1,2  Duan, Sen³  Tang, Yilei³  Xie, Jianhua⁴ 

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

[2] Univ Fujian, Key Lab Operat Res & Control, Fuzhou 350116, Fujian, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

[4] Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China

关键词: Global phase portrait;    Limit cycle;    Grazing bifurcation;    Grazing-sliding bifurcation;    Discontinuous piecewise differential system;   

DOI  :  10.1016/j.jde.2018.06.013

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free