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math.DS2025
Grazing-sliding bifurcations in planar -symmetric Filippov systems
Xingwu Chen, Zhihao Fang, Tao Li
This paper aims to explore the effect of -symmetry on grazing-sliding bifurcations in planar Filippov systems. We consider the scenario where the unperturbed system i…
math.DS2024
Bifurcations and explicit unfoldings of grazing loops connecting one high multiplicity tangent point
Zhihao Fang, Xingwu Chen
For piecewise-smooth differential systems, in this paper we focus on crossing limit cycles and sliding loops bifurcating from a grazing loop connecting one high multiplicity tangen…
math.DS2024
Classifications and bifurcations of tangent points and their loops of planar piecewise-smooth systems
Zhihao Fang, Xingwu Chen
Tangent points, especial dynamics existing only in piecewise-smooth systems, usually have dynamical properties like equilibria of smooth systems. Loops connecting tangent points ow…