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[1] 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)

[2] H.Chiba, Approximation of center manifolds on the renormalization group method, J. Math. Phys. Vol.49, 102703 (2008)

[3] H.Chiba, Simplified renormalization group method for ordinary differential equations, J. Diff. Equ. 246, (2009), pp.1991-2019

[4] H.Chiba, M.Iwasa, Lie equations for asymptotic solutions of perturbation problems of ordinary differential equations, J. Math. Phys. 50 042703, (2009)

[5] 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)

[6] 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)

[7] M.Kuwamura, H.Chiba, Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators, Chaos, 19, 043121 (2009)

[8] H.Chiba, Periodic orbits and chaos in fast-slow systems with Bogdanov-Takens type fold points, J. Diff. Equ. 250, 112-160, (2011)

[9] H.Chiba, I.Nishikawa, Center manifold reduction for a large population of globally coupled phase oscillators, Chaos, 21, 043103, (2011)

[10] H.Chiba, Continuous limit of the moments system for the globally coupled phase oscillators, Discret. Contin. Dyn. S.-A, Vol.33, pp.1891-1903. (2013)

[11] H.Chiba, A proof of the Kuramoto conjecture for a bifurcation structure of the infinite dimensional Kuramoto model, Ergo. Theo. Dyn. Syst, 35, 762-834, (2015)

[12] H.Chiba, Reduction of weakly nonlinear parabolic partial differential equations. J. Math. Phys. 54, 101501 (2013)

[13] H. Chiba, A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions. Adv. in Math. 273, 324-379, (2015)

[14] H. Chiba, The first, second and fourth Painleve equations on weighted projective spaces. J. Diff. Equ. 260, no. 2, 1263-1313, (2015)

[15] H. Chiba, Kovalevskaya exponents and the space of initial conditions of a quasi-homogeneous vector field. J. Diff. Equ. 259, no. 12, 7681-7716, (2015)

[16] H. Chiba, The third, fifth and sixth Painleve equations on weighted projective spaces, SIGMA 12, 019 (2016)

[17] H.Chiba, Multi-Poisson approach to the Painleve equations: from the isospectral deformation to the isomonodromic deformation. SIGMA 13, 025 (2017)

[18] H. Chiba, A center manifold reduction of the Kuramoto-Daido model with a phase-lag, SIAM j. on Appl. Dyn. Syst. Vol.16, No.3 (2017)

[19] 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, 375-405 (2018)

[20] 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, 39(1), 131-155. (2019)

[21] H.Chiba, G. S. Medvedev, M. S. Muzuhara, Bifurcations in the Kuramoto model on graphs, Chaos, 28, 073109, (2018)

[22] H.Chiba, G. S. Medvedev, The mean field analysis ofthe Kuramoto model on graphs II. Asymptotic stability of the incoherentstate, center manifold reduction, and bifurcations, Discret. Contin. Dyn. S.-A, 39 (7), 3897-3921, (2019)

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H. Chiba, Linear stability of the incoherent solution and the transition formula for the Kuramoto-Daido model, RIMS Kokyuroku Bessatsu, B21, (2010)

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H. Chiba, Approximation of vector fields on the RG method and its applications to the synchronization, sw͌u^ 1600 uJ肱݌Q̐Ȋwł̉pv, pp.160--184, 2008N

H. Chiba, Renormalization group method and its application to coupled oscillators, sw͌u^ 1616 uۂƊ֘A̐v, pp.59--77, 2008N

H. Chiba, Decomposition of the Space of C^\infty Vector fields and C^\infty Normal Forms Theory, sw͌u^ 1633 up^[_Ci~NX̐Ƃ̎Ӂv, pp.96--116, 2009N.

H. Chiba, {f̈萫_, sw͌u^, 1688 uoȗ͊wn厩Rx͊wnցv, pp.63--76, 2010N5

H. Chiba, A spectral theory of linear operators on Gelfand triplets, sw͌u^, 1774 u􉽊wI͊wn̐VWJv, pp.78--99, 2011N10

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