TY - JOUR T1 - Bifurcation in a Class of Planar Piecewise Smooth Systems with 3-Parameters AU - Liu , Yuanyuan AU - Chai , Zhenhua JO - Communications in Mathematical Research VL - 3 SP - 207 EP - 221 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.03.03 UR - https://global-sci.org/intro/article_detail/cmr/18963.html KW - piecewise smooth system, line of discontinuity, equilibria, periodic solution with sliding motion, bifurcation. AB -
This paper is concerned with the bifurcation properties on the line of discontinuity of planar piecewise smooth systems. The existence of equilibria and periodic solutions with sliding motion in a class of planar piecewise smooth systems with 3-parameters is investigated in this paper using the theory of differential inclusion and tools of Poincaré maps.