四川大学学报（自然科学版）2022，Vol.59Issue(4)：23-30,8.DOI:10.19907/j.0490-6756.2022.041004
一类三维分段光滑系统的穿越极限环
Crossing limit cycles of a 3D piecewise-smooth system
摘要
Abstract
In this paper we investigate the crossing limit cycles of a 3D discontinuous piecewise-smooth system.In this system,the phase space is divided into two regions by a hypersurface and thus the sys-tem presents two different vector fields.Meanwhile,the system presents two-fold in which both vector fields are tangent to the hypersurface.We prove that the maximum number of crossing limit cycles is 2 and give necessary and sufficient conditions for one and two crossing limit cycles respectively.Further-more,the crossing locations of the crossing limit cycles are determined as well as their periods.关键词
穿越极限环/分段光滑系统/切换流形/two-foldKey words
Crossing limit cycle/Piecewise-smooth system/Switching manifold/Two-fold分类
数理科学引用本文复制引用
郑莹莹,陈兴武..一类三维分段光滑系统的穿越极限环[J].四川大学学报（自然科学版）,2022,59(4):23-30,8.基金项目
国家自然科学基金(11871355) （11871355）
