76 citations · 300 across the 26 of their papers we have counts for
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Weights, Kovalevskaya exponents and the Painlevé property
Hayato Chiba
Weighted degrees of quasihomogeneous Hamiltonian functions of the Painlevé equations are investigated. A tuple of positive integers, called a regular weight, satisfying certain con…
Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation
Hayato Chiba
A multi-Poisson structure on a Lie algebra provides a systematic way to construct completely integrable Hamiltonian systems on expressed in Lax form $…
The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
Hayato Chiba
The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces with suitable weights determined by the N…
Kovalevskaya exponents and the space of initial conditions of a quasi-homogeneous vector field
Hayato Chiba
Formal series solutions and the Kovalevskaya exponents of a quasi-homogeneous polynomial system of differential equations are studied by means of a weighted projective space and dy…
The first, second and fourth Painlevé equations on weighted projective spaces
Hayato Chiba
The first, second and fourth Painlevé equations are studied by means of dynamical systems theory and three dimensional weighted projective spaces $\C P^3(p,q,r,s)$ with suitable we…