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.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…
math.DS2025
Normal forms of piecewise-smooth systems with a monodromic singular point
Jiahao Li, Xingwu Chen, Weinian Zhang
Normal form theory is developed deeply for planar smooth systems but has few results for piecewise-smooth systems because difficulties arise from continuity of the near-identity tr…