3 papers
math.DS2026
Normal form method of center-focus problem in piecewise-smooth systems and algorithm design
Xingwu Chen, Jiahao Li, Tao Li
We investigate the normal form method in piecewise-smooth monodromic systems to distinguish center from focus and determine the order of focus as well as degenerate Hopf bifurcatio…
math.DS2026
Bifurcations of grazing loops of arbitrary tangent multiplicity in piecewise-smooth systems
Xingwu Chen, Zhihao Fang, Tao Li
In piecewise-smooth differential systems, a hyperbolic limit cycle of a subsystem loses its structural stability if it grazes the switching manifold at a tangent point. Such a cycl…
math.DS2025
Crossing-sliding bifurcations in planar -symmetric Filippov systems
Xingwu Chen, Jiahao Li, Tao Li
In this paper we investigate the crossing-sliding bifurcations of planar Filippov systems with -symmetry. Such bifurcations are triggered by the perturbations of a cr…