【摘 要】
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In this paper, we study the sliding bifurcation phenomena of a class of planar piecewise smooth differential systems consisting of linear and quadratic subs
【机 构】
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School of Mathematical Sciences Huaqiao university
【出 处】
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第十一届泉州市科协年会暨福建省科协第十三届学术年会卫星会议
论文部分内容阅读
In this paper, we study the sliding bifurcation phenomena of a class of planar piecewise smooth differential systems consisting of linear and quadratic subsystems.Using the differential inclusion and the qualitative theory of ordinary differential equations, we find some new interesting phenomena appearing in the piecewise smooth differential systems.In brief, we prove that the system may have sliding homoclinic bifurcation, sliding cycle bifurcation, semistable limit cycle bifurcation and heteroclinic cycle bifurcation.In addition, the mentioned systems can have at most two limit cycles, and the maximal number of limit cycles can be realized and central nested with one bifurcated from the sliding-crossing bifurcation of a sliding cycle and the other from the saddle homoclinic bifurcation.These two limit cycles collide and then both disappear.This novel scenario is verified by our systems.
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