2 papers
math.DS2026
On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields
Hayato Chiba
A structure of families of Laurent series solutions of a quasi-homogeneous vector field is studied, where a given vector field is assumed to have a commutable vector field. For an…
nlin.SI2025
Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlevé Property
Changyu Zhou, Hayato Chiba
This paper investigates quasi-homogeneous integrable systems by analyzing their Laurent series solutions near movable singularities, motivated by patterns observed in Kovalevskaya…