利用微分包含理论研究一类3参数平面分片光滑系统的平衡点分支性质,得到了此类系统中平衡点存在的充要条件.特别地,讨论了此3参数平面分片光滑系统中间断线上平衡点的性质.
We studied the bifurcation properties of stationary points of a class of planar piecewise smooth system with 3 parameters using the theory of differential inclusions, presenting both sufficient and neccesary conditions of the existence of the stationary points in this class of planar piecewise smooth systems. We especially studied the existence of the stationary points on the line of discontinuity of this planar piecewise smooth system.