Published
 H.Chiba, "Normal Forms of C^\infty Vector Fields based
on the Renormalization Group", J. Math. Phys. , Vol.62, 062703, (2021) (pdf),
 H.Chiba, "A Hopf bifurcation in the KuramotoDaido model",
J. Diff. Equ. Vol.280, no 15, 546570, (2021).
(pdf).
 K. Kotani, A. Akao, H.Chiba, "Bifurcation of the neuronal
population dynamics of the modified theta model: transition to macroscopic
gamma oscillation ", Physica D, Vol.416, 132789, (2021)
. (pdf)
 H.Chiba, G. S. Medvedev, "The mean field analysis of
the Kuramoto model on graphs II. Asymptotic stability of the incoherent
state, center manifold reduction, and bifurcations", Discret.
Contin. Dyn. S.A, (2019), 39 (7), 38973921. (pdf)
 H.Chiba, G. S. Medvedev, M. S. Muzuhara, "Bifurcations
in the Kuramoto model on graphs", Chaos, 28, (2018), no.7,
073109, (pdf).
 H.Chiba, G. S. Medvedev, "The mean field analysis for
the Kuramoto model on graphs I. The mean field equation and transition
point formulas", Discret. Contin. Dyn. S.A, (2019), 39
(1), 131155, (pdf).
 H.Chiba, "A spectral theory of linear operators on
rigged Hilbert spaces under analyticity conditions II : applications
to Schrodinger operators", Kyushu Journal of Math. 72,
375405 (2018), (pdf).
 H.Chiba, "A center manifold reduction of the KuramotoDaido
model with a phaselag", SIAM j. on Appl. Dyn. Syst. Vol.16,
No.3 (2017), (pdf).
 H.Chiba, "MultiPoisson approach to the Painleve equations:
from the isospectral deformation to the isomonodromic deformation",
SIGMA 13, 025 (2017), (pdf).
 H.Chiba, "The third, fifth and sixth Painleve equations
on weighted projective spaces",
SIGMA 12, 019 (2016), (pdf).
 H.Chiba, "Kovalevskaya exponents and the space of initial
conditions of a quasihomogeneous vector field",
J. Diff. Equ. 259, no. 12, 76817716, (2015), (pdf).
 H.Chiba, "The first, second and fourth Painleve equations
on weighted projective spaces",
J. Diff. Equ. 260, no. 2, 12631313, (2015), (pdf).
 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, "Weights, Kovalevskaya exponents and the Painleve
property", (preprint), (last modified
Oct/15/2020)
H.Chiba, G.S. Medvedev, M.S. Mizuhara, "Instability of
mixing in the Kuramoto model: From bifurcations to patterns",
(preprint), (Aug/31/2020).
H.Chiba, G.S. Medvedev, "
Stability and bifurcation of mixing in the Kuramoto model with inertia ",
(preprint), (Jun/15/2021).
H.Chiba, M.Ikeda, I.Ishikawa, "
Generalized eigenvalues of the PerronFrobenius operators of symbolic dynamical systems ",
(preprint), (Jun/23/2021).
