Kyushu University Academic Staff Educational and Research Activities Database
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Chiba Hayato Last modified date:2016.08.31





E-Mail
Homepage
http://www2.math.kyushu-u.ac.jp/~chiba/index-e.htm
Phone
092-802-4430
Fax
092-802-4430
Academic Degree
informatics
Field of Specialization
dynamical systems
Outline Activities
I have studied dynamical systems theory and differential equations on the complex plane.
Research
Research Interests
  • Dynamical systems-approach to the Painleve equations
    keyword : Painleve equations
    2012.04~2015.03.
  • Bifurcation theory for infinite dimensional dynamical systems and its applications to coupled oscillators
    keyword : dynamical systems
    2009.04~2012.03.
Academic Activities
Papers
1. 千葉 逸人, A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions, Advances in Mathematics, 273, 2015.01.
2. 千葉 逸人, A proof of the Kuramoto conjecture for a bifurcation structure of the infinite dimensional Kuramoto model, Ergodic Theory and Dynamical Systems, 35, 2015.03.
3. 千葉 逸人, Reduction of weakly nonlinear parabolic partial differential equations, Journal of Mathematical Physics, 54, 2013.09.
4. 千葉 逸人, Continuous limit of the moments system for the globally coupled phase oscillators, Discret. Contin. Dyn. S.-A, 33, 2013.05.
5. Hayato Chiba, Isao Nishikawa, Center manifold reduction for a large population of globally coupled phase oscillators, Chaos, 21, 043103, 2011.10.
6. Hayato Chiba, Periodic orbits and chaos in fast-slow systems with Bogdanov-Takens type fold points, J. Diff. Equ, 250, 112-160, 2010.11.
7. Hayato 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, 2009.08.
8. Hayato Chiba, Simplified renormalization group method for ordinally differential equations, J. Diff. Equ., 246, pp.1991-2019, 2009.01.
9. Hayato Chiba, Approximation of center manifolds on the renormalization group method, J. Math. Phys., Vol.49, 102703, 2008.10.
10. Hayato 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, 2008.06.
Presentations
1. 千葉 逸人, A Spectral Theory of Linear Operators on a Gelfand Triplet and its Application to the Dynamics of Coupled Oscillators
, SIAM conference on Nonlinear Waves and Coherent Structures, 2014.08.11.
2. 千葉 逸人, A Spectral Theory of Linear Operators on a Gelfand Triplet and its Application to Coupled Oscillators
, Dynamical Systems, Differential Equations and Applications, 2014.07.08.
3. 千葉 逸人, Reduction of parabolic PDEs, AIMS International Conference on Dynamical Systems, Differential Equations, and Applications, 2012.07.02.
4. 千葉 逸人, A spectral theory of linear operators on Gelfand triplets and its applications, 2012 NCTS Workshop on Dynamical Systems, 2012.05.16.
5. 千葉 逸人, A spectral theory of linear operators on Gelfand triplets, Emerging Topics on Differential Equations and their Applications, 2011.12.05.
6. 千葉 逸人, A spectral theory on Gelfand triplets, Workshop on Nonlinear Partial Differential Equations, 2011.11.04.
Membership in Academic Society
  • Society for Industrial and Applied Mathematics
  • The Mathematical Society of Japan
Awards
  • A study of the Kuramoto conjecture of coupled oscillators
Educational
Social
Professional and Outreach Activities
I have attended international conferences..