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A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model

Ergodic theory and dynamical systems, 2015-05, Vol.35 (3), p.762-834

CHIBA, HAYATO

2015

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Normal forms of C ∞ vector fields based on the renormalization group

Journal of mathematical physics, 2021-06, Vol.62 (6)

Chiba, Hayato

2021

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The first, second and fourth Painlevé equations on weighted projective spaces

Journal of Differential Equations, 2016-01, Vol.260 (2), p.1263-1313

Chiba, Hayato

2016

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A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions

Advances in mathematics (New York. 1965), 2015-03, Vol.273, p.324-379

Chiba, Hayato

2015

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Kovalevskaya exponents and the space of initial conditions of a quasi-homogeneous vector field

Journal of Differential Equations, 2015-12, Vol.259 (12), p.7681-7716

Chiba, Hayato

2015

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Bifurcations in the Kuramoto model on graphs

Chaos (Woodbury, N.Y.), 2018-07, Vol.28 (7)

2018

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Feeding Habits of Frogs in the Tottori Sand Dunes, Tottori Prefecture, Western Japan

Current herpetology, 2023-08, Vol.42 (2)

2023

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The mean field analysis of the Kuramoto model on graphs Ⅰ. The mean field equation and transition point formulas

Discrete and continuous dynamical systems. Series A, 2019, Vol.39 (1), p.131-155

2019

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Continuous limit and the moments system for the globally coupled phase oscillators

Discrete and continuous dynamical systems. Series A, 2013, Vol.33 (5), p.1891-1903

Chiba, Hayato

2013

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Bifurcations and Patterns in the Kuramoto Model with Inertia

Journal of nonlinear science, 2023-10, Vol.33 (5), Article 78

2023

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Reduction of weakly nonlinear parabolic partial differential equations

Journal of mathematical physics, 2013-10, Vol.54 (10), p.1

Chiba, Hayato

2013

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The mean field analysis of the kuramoto model on graphs Ⅱ. asymptotic stability of the incoherent state, center manifold reduction, and bifurcations

Discrete and continuous dynamical systems. Series A, 2019-07, Vol.39 (7), p.3897-3921

2019

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Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method

SIAM journal on applied dynamical systems, 2009-01, Vol.8 (3), p.1066-1115

Chiba, Hayato

2009

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Approximation of center manifolds on the renormalization group method

Journal of mathematical physics, 2008-10, Vol.49 (10), p.102703-102703-11

Chiba, Hayato

2008

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Weights, Kovalevskaya exponents and the Painlevé property

Annales de l'Institut Fourier, 2024-05, Vol.74 (2), p.811-848

Chiba, Hayato

2024

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A Hopf bifurcation in the Kuramoto-Daido model

Journal of Differential Equations, 2021-04, Vol.280, p.546-570

Chiba, Hayato

2021

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C^1$ Approximation of Vector Fields Based on the Renormalization Group Method

SIAM journal on applied dynamical systems, 2008-01, Vol.7 (3), p.895-932

Chiba, Hayato

2008

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A SPECTRAL THEORY OF LINEAR OPERATORS ON RIGGED HILBERT SPACES UNDER ANALYTICITY CONDITIONS II: APPLICATIONS TO SCHRÖDINGER OPERATORS

Kyushu Journal of Mathematics, 2018, Vol.72(2), pp.375-405

CHIBA, Hayato

2018

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Bifurcation Mechanism of Quasi-Halo Orbit from Lissajous Orbit

Journal of guidance, control, and dynamics, 2024-09, p.1-13

2024

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Efficient immobilization of silver nanoparticles on metal substrates through various thiol molecules to utilize a gap mode in surface enhanced Raman scattering

Vibrational spectroscopy, 2014-05, Vol.72, p.105-110

2014

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Highly sensitive Raman spectroscopy using a gap mode plasmon under an attenuated total reflection geometry

Vibrational spectroscopy, 2014-07, Vol.73, p.19-23

2014

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Stability of an [ N / 2 ] -dimensional invariant torus in the Kuramoto model at small coupling

Physica. D, 2009-06, Vol.238 (13), p.1068-1081

2009

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Wide-ranging Movement and Foraging Strategy of the Critically Endangered Red-headed Wood Pigeon ( Columba janthina nitens ): Findings from a Remote Uninhabited Island

Pacific science, 2017-04, Vol.71 (2), p.161-170

2017

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Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia

SIAM journal on mathematical analysis, 2022-04, Vol.54 (2), p.1797-1819

2022

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Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation

Symmetry, integrability and geometry, methods and applications, 2017-04, Vol.13

Chiba, Hayato

2017

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A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model

Normal forms of C ∞ vector fields based on the renormalization group

The first, second and fourth Painlevé equations on weighted projective spaces

A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions

Kovalevskaya exponents and the space of initial conditions of a quasi-homogeneous vector field

Bifurcations in the Kuramoto model on graphs

Feeding Habits of Frogs in the Tottori Sand Dunes, Tottori Prefecture, Western Japan

The mean field analysis of the Kuramoto model on graphs Ⅰ. The mean field equation and transition point formulas

Continuous limit and the moments system for the globally coupled phase oscillators

Bifurcations and Patterns in the Kuramoto Model with Inertia

Reduction of weakly nonlinear parabolic partial differential equations

The mean field analysis of the kuramoto model on graphs Ⅱ. asymptotic stability of the incoherent state, center manifold reduction, and bifurcations

Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method

Approximation of center manifolds on the renormalization group method

Weights, Kovalevskaya exponents and the Painlevé property

A Hopf bifurcation in the Kuramoto-Daido model

C^1$ Approximation of Vector Fields Based on the Renormalization Group Method

A SPECTRAL THEORY OF LINEAR OPERATORS ON RIGGED HILBERT SPACES UNDER ANALYTICITY CONDITIONS II: APPLICATIONS TO SCHRÖDINGER OPERATORS

Bifurcation Mechanism of Quasi-Halo Orbit from Lissajous Orbit

Efficient immobilization of silver nanoparticles on metal substrates through various thiol molecules to utilize a gap mode in surface enhanced Raman scattering

Highly sensitive Raman spectroscopy using a gap mode plasmon under an attenuated total reflection geometry

Stability of an [ N / 2 ] -dimensional invariant torus in the Kuramoto model at small coupling

Wide-ranging Movement and Foraging Strategy of the Critically Endangered Red-headed Wood Pigeon ( Columba janthina nitens ): Findings from a Remote Uninhabited Island

Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia

Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation

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