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Semi-analytical computation of bifurcation of orbits near collinear libration point in the restricted three-body problem
Peer-reviewed
Phys. D 470 134404 2024/10
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Weights, Kovalevskaya exponents and the Painleve property
Peer-reviewed
Hayato Chiba
Ann. Inst. Fourier 74 (2) 818-848 2024/05
DOI：
10.5802/aif.3591
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Generalized eigenvalues of the Perron-Frobenius operators of symbolic dynamical systems
Hayato Chiba, Masahiro Ikeda, Isao Ishikawa
SIAM Journal on Applied Dynamical Systems 22 (4) 2825-2855 2023
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
DOI：
10.1137/22m1476204
eISSN：
1536-0040
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Bifurcations and patterns in the Kuramoto model with inertia
Peer-reviewed
J. of Nonlinear Science 2023
-
Stability and bifurcation of mixing in the Kuramoto model with inertia
Peer-reviewed
SIAM J. on Math. Analy 54 1797-1819 2022
-
Normal Forms of C^\infty Vector Fields based on the Renormalization Group,
Peer-reviewed
H. Chiba
J. Math. Phys. 62 062703 2021
-
A Hopf bifurcation in the Kuramoto-Daido model
Peer-reviewed
H. Chiba
J. Diff. Equ 280 546-570 2021
-
Bifurcation of the neuronal population dynamics of the modified theta model: transition to macroscopic gamma oscillation
Peer-reviewed
K. Kotani, A. Akao, H.Chiba
Physica D 416 132789 2021
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The mean field analysis ofthe Kuramoto model on graphs II. Asymptotic stability of the incoherentstate, center manifold reduction, and bifurcations
Peer-reviewed
H.Chiba, G. S. Medve
Discret. Contin. Dyn. S.-A 39 (7) 3897-3921 2019
-
Bifurcations in the Kuramoto model on graphs
Peer-reviewed
H.Chiba, G. S. Medvedev, M. S. Muzuhara
Chaos 28 2018
-
The mean field analysis for the Kuramoto model on graphs I. The mean field equation and transition point formulas
Peer-reviewed
H.Chiba, G. S. Medve
Discret. Contin. Dyn. S.-A 2018
-
A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions II : applications to Schrodinger operators
Peer-reviewed
Hayato Chiba
Kyushu Journal of Math. 2018
-
A Center Manifold Reduction of the Kuramoto-Daido Model with a Phase-Lag
Peer-reviewed
Hayato Chiba
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 16 (3) 1235-1259 2017
DOI：
10.1137/16M1094129
ISSN：
1536-0040
-
Multi-Poisson Approach to the Painleve Equations: from the Isospectral Deformation to the Isomonodromic Deformation
Peer-reviewed
Hayato Chiba
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 13 2017
DOI：
10.3842/SIGMA.2017.025
ISSN：
1815-0659
-
The Third, Fifth and Sixth Painleve Equations on Weighted Projective Spaces
Peer-reviewed
Hayato Chiba
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 12 2016
DOI：
10.3842/SIGMA.2016.019
ISSN：
1815-0659
-
The first, second and fourth Painleve equations on weighted projective spaces
Peer-reviewed
Hayato Chiba
JOURNAL OF DIFFERENTIAL EQUATIONS 260 (2) 1263-1313 2016/01
DOI：
10.1016/j.jde.2015.09.020
ISSN：
0022-0396
eISSN：
1090-2732
-
Kovalevskaya exponents and the space of initial conditions of a quasi-homogeneous vector field
Peer-reviewed
Hayato Chiba
JOURNAL OF DIFFERENTIAL EQUATIONS 259 (12) 7681-7716 2015/12
DOI：
10.1016/j.jde.2015.08.035
ISSN：
0022-0396
eISSN：
1090-2732
-
A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
Peer-reviewed
Hayato Chiba
ERGODIC THEORY AND DYNAMICAL SYSTEMS 35 762-834 2015/05
DOI：
10.1017/etds.2013.68
ISSN：
0143-3857
eISSN：
1469-4417
-
A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions
Peer-reviewed
Hayato Chiba
ADVANCES IN MATHEMATICS 273 324-379 2015/03
DOI：
10.1016/j.aim.2015.01.001
ISSN：
0001-8708
eISSN：
1090-2082
-
Reduction of weakly nonlinear parabolic partial differential equations
Peer-reviewed
Hayato Chiba
JOURNAL OF MATHEMATICAL PHYSICS 54 (10) 2013/10
DOI：
10.1063/1.4824014
ISSN：
0022-2488
eISSN：
1089-7658
-
CONTINUOUS LIMIT AND THE MOMENTS SYSTEM FOR THE GLOBALLY COUPLED PHASE OSCILLATORS
Peer-reviewed
Hayato Chiba
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 33 (5) 1891-1903 2013/05
DOI：
10.3034/dcds.2013.33.1891
ISSN：
1078-0947
-
Center manifold reduction for large populations of globally coupled phase oscillators
Peer-reviewed
Hayato Chiba, Isao Nishikawa
CHAOS 21 (4) 2011/12
DOI：
10.1063/1.3647317
ISSN：
1054-1500
-
Periodic orbits and chaos in fast-slow systems with Bogdanov-Takens type fold points
Peer-reviewed
Hayato Chiba
JOURNAL OF DIFFERENTIAL EQUATIONS 250 (1) 112-160 2011/01
DOI：
10.1016/j.jde.2010.09.022
ISSN：
0022-0396
-
Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators
Peer-reviewed
Masataka Kuwamura, Hayato Chiba
CHAOS 19 (4) 2009/12
DOI：
10.1063/1.3270262
ISSN：
1054-1500
-
Stability of an [N/2]-dimensional invariant torus in the Kuramoto model at small coupling
Peer-reviewed
Hayato Chiba, Diego Pazo
PHYSICA D-NONLINEAR PHENOMENA 238 (13) 1068-1081 2009/06
DOI：
10.1016/j.physd.2009.03.005
ISSN：
0167-2789
-
Lie equations for asymptotic solutions of perturbation problems of ordinary differential equations
Peer-reviewed
Hayato Chiba, Masatomo Iwasa
JOURNAL OF MATHEMATICAL PHYSICS 50 (4) 2009/04
DOI：
10.1063/1.3097304
ISSN：
0022-2488
-
Simplified renormalization group method for ordinary differential equations
Peer-reviewed
Hayato Chiba
JOURNAL OF DIFFERENTIAL EQUATIONS 246 (5) 1991-2019 2009/03
DOI：
10.1016/j.jde.2008.11.012
ISSN：
0022-0396
-
Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method
Peer-reviewed
Hayato Chiba
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 8 (3) 1066-1115 2009
DOI：
10.1137/090745957
ISSN：
1536-0040
-
Approximation of center manifolds on the renormalization group method
Peer-reviewed
Hayato Chiba
JOURNAL OF MATHEMATICAL PHYSICS 49 (10) 2008/10
DOI：
10.1063/1.2996290
ISSN：
0022-2488
-
C-1 Approximation of Vector Fields Based on the Renormalization Group Method
Peer-reviewed
Hayato Chiba
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 7 (3) 895-932 2008
DOI：
10.1137/070694892
ISSN：
1536-0040
