2 papers
nlin.SI2026
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…
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…