Published
 H.Chiba, "A spectral theory of linear operators on
rigged Hilbert spaces under analyticity conditions",
Adv. in Math. 273, 324379, (2015), (pdf).
 H.Chiba, "Reduction of weakly nonlinear parabolic partial
differential equations",
J. Math. Phys. 54, 101501, (2013), (pdf).
 H.Chiba, "A proof of the Kuramoto conjecture for a
bifurcation structure of the infinite dimensional Kuramoto model",
Ergo. Theo. Dyn. Syst, 35, 762834, (2015), (pdf)
 H.Chiba, "Continuous limit of the moments system for
the globally coupled phase oscillators",
Discret. Contin. Dyn. S.A, Vol.33, pp.18911903. (2013), (pdf)
 H.Chiba, I.Nishikawa, "Center manifold reduction for
a large population of globally coupled phase oscillators",
Chaos, 21, 043103 (2011), (pdf)
 H.Chiba, "Linear stability of the incoherent solution
and the transition formula for the KuramotoDaido model",
RIMS Kokyuroku Bessatsu, B21 (2010), (pdf)
 H.Chiba, "Periodic orbits and chaos in fastslow systems
with BogdanovTakens type fold points",
J. Diff. Equ, 250, 112160, (2011), (pdf)
 M.Kuwamura, H.Chiba, "Mixedmode oscillations and chaos
in a preypredator system with dormancy of predators",
Chaos, 19, 043121 (2009), (pdf)
 H.Chiba, "Extension and unification of singular perturbation
methods for ODEs based on the renormalization group method",
SIAM j. on Appl. Dyn.Syst., Vol.8, 10661115 (2009), (pdf)
 H.Chiba, D.Pazo, "Stability of an [N/2]dimensional
invariant torus in the Kuramoto model at small coupling",
Physica D, Vol.238, 10681081 (2009), (pdf)
 H.Chiba, M.Iwasa, "Lie equations for asymptotic solutions
of perturbation problems of ordinary differential equations",
J. Math. Phys. 50 042703, (2009), (pdf)
 H.Chiba, "Simplified renormalization group method for
ordinary differential equations",
J. Diff. Equ. 246, pp.19912019 , (2009), (pdf)
 H.Chiba, "Approximation of center manifolds on the
renormalization group method",
J. Math. Phys. Vol.49, 102703 (2008), (pdf)
 H.Chiba, "C^1 Approximation of vector fields based
on the renormalization group method",
SIAM j. on Appl. Dyn. Syst.,Vol.7, No.3, pp.895932 (2008),
(pdf)
Prepreint
H.Chiba, "A compactified Riccati equation of Airy type
on a weighted projective space", (preprint).
H.Chiba, "The first, second and fourth Painleve equations
on weighted projective spaces", (preprint).
(last modified Jul/14/2014).
H.Chiba, "Kovalevskaya exponents and the space of initial
conditions of a quasihomogeneous vector field", (preprint).
(last modified Jul/14/2014).
H.Chiba, "A spectral theory of linear operators on rigged
Hilbert spaces under analyticity conditions II : applications to Schrodinger
operators", (preprint), (last
modified May/20/2015)
H.Chiba, "The third, fifth and sixth Painleve equations
on weighted projective spaces", (preprint),
(last modified Jun/1/2015)
