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.895-932 (2008) (pdf)
H.Chiba, "Approximation of center manifolds on the renormalization
group method", J. Math. Phys. Vol.49, 102703 (2008) (pdf)
H.Chiba, "Simplified renormalization group method for
ordinary differential equations", J. Diff. Equ. 246, (2009),
pp.1991-2019 (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, D.Pazo, "Stability of an [N/2]-dimensional invariant
torus in the Kuramoto model at small coupling", Physica D,
Vol.238, 1068-1081 (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, 1066-1115 (2009) (pdf)
M.Kuwamura, H.Chiba, "Mixed-mode oscillations and chaos
in a prey-predator system with dormancy of predators",Chaos,
19, 043121 (2009), (pdf),
H.Chiba, "Periodic orbits and chaos in fast-slow systems
with Bogdanov-Takens type fold points", J. Diff. Equ,
250, 112-160, (2011), (pdf), (last
modified Sep/15/2010)
H.Chiba, "Linear stability of the incoherent solution
and the transition formula for the Kuramoto-Daido model", RIMS
Kokyuroku Bessatsu, B21 (2010), (pdf),
H.Chiba, I.Nishikawa, "Center manifold reduction for
a large population of globally coupled phase oscillators", Chaos,
21, 043103 (2011) (pdf),
H.Chiba, "Continuous limit of the moments system for
the globally coupled phase oscillators", (preprint),
(last modified Mar/26/2010)
H.Chiba, "A proof of the Kuramoto's conjecture for a
bifurcation structure of the infinite dimensional Kuramoto model",
(preprint), (last modified Jul/31/2010)
H.Chiba, "A spectral theory of linear operators on rigged
Hilbert spaces under certain analyticity conditions", (preprint),
(last modified Aug/20/2011)
H.Chiba, "A spectral theory of linear operators on rigged
Hilbert spaces under certain analyticity conditions II : applications
to Schrodinger operators", (preprint),
(last modified Aug/21/2011)
