3 papers
math.DS2026
Asymptotic expansions of characteristic orbits of planar real analytic vector fields
Jun Zhang
The well-known Newton-Puiseux Theorem states that each real branch of a planar real analytic curve admits a Puiseux expansion. We generalize this result to characteristic orbit of…
math.DS2026
Global center of polynomial Newton system and its non-isochronicity
Colin Christopher, Jun Zhang, Weinian Zhang
Using a new compactification (toroidal compactification) and desingularization, we obtain a complete characterization of monodromy at infinity for polynomial Newton system of arbit…
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,…