Global dynamics of a mechanical system with dry friction
Global dynamics of a mechanical system with dry friction
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干摩擦机械系统的整体动力学
DOI：
10.1016/j.jde.2018.06.013
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发表时间：
2018
影响因子：
2.4
通讯作者：
Xie Jianhua
中科院分区：
文献类型：
--
作者：
Chen Hebai;Duan Sen;Tang Yilei;Xie Jianhua
对具有干摩擦的机械系统的全局动力学进行了全面的分析。该力学系统是一类不连续的超越分段光滑微分系统。此外，它还可以表现出丰富而复杂的动力学现象，如Hopf分岔、掠动分岔、掠动-滑动分岔和极限环分岔等。最后，所有的全球相图的系统上的庞加莱盘。
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.