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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…
math.DS2023
Orbits and tsectors in irregular exceptional directions of full-null degenerate singular point
Jun Zhang, Xingwu Chen, Weinian Zhang
Near full-null degenerate singular points of analytic vector fields, asymptotic behaviors of orbits are not given by eigenvectors but totally decided by nonlinearities. Especially,…