Research theme for competitive and other funds (15)：
2024 - 2029 物理と数学の協働による乱流クロージャー問題解決に向けた機械学習理論の創出
2024 - 2028 New Developments in Fluid Dynamics Research Based on Dynamical Systems Theory
2024 - 2027 Construction and exploration of nonlinear economic dynamic models with dynamically changing time evolution rules
2023 - 2025 Data-driven modeling of ordinary differential equations using regression
2022 - 2024 Dynamical System and reservoir computing
2021 - 2024 Expediting and Elaborating Business Forecast Using Machine Learning
2019 - 2023 Intermittency due to hetero-chaotic property and its inference
2019 - 2022 Data analysis and large-scale simulation of regional business cycles
2017 - 2020 Fast Computation of Birkhoff Average along a Quasi-periodic Orbit and its Applications
2016 - 2020 Construction of a synchronization theory based on hetero-dimensional cycle: Toward an understanding of complex phenomena
2014 - 2017 Mathematical characterization of chaotic itinerancy
2013 - 2015 Construction of mathematical models for long-term forecast of atmospheric variation by climate time-series
2012 - 2014 Understanding Synchronization of Business Cycles Using Wavelet Analysis and Nonlinear Coupled Oscillator Models
2011 - 2013 Analysis of non-hyperbolic systems through unstable periodic orbits
2007 - 2009 Analysis of unstable periodic orbits in a chaotic dynamical system and its applications
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Papers (42)：
Hibiki Kato, Miki U Kobayashi, Yoshitaka Saiki, James A. Yorke. Laminar chaotic saddle within a turbulent attractor. Physical Review E. 2024. 110. 5. L052202
Makoto Muto, Yoshitaka Saiki. Synchronization analysis between exchange rates on the basis of purchasing power parity using the Hilbert transform. The North American Journal of Economics and Finance. 2024. 74. 102191-102191
Miki U Kobayashi, Kengo Nakai, Yoshitaka Saiki. Lyapunov analysis of data-driven models of high dimensional dynamics using reservoir computing: Lorenz-96 system and fluid flow. Journal of Physics: Complexity. 2024
Masanobu Inubushi, Yoshitaka Saiki, Miki U. Kobayashi, Susumu Goto. Characterizing small-scale dynamics of Navier-Stokes turbulence with transverse Lyapunov exponents: A data assimilation approach. Physical Review Letters. 2023. 131. 25. 254001
Natsuki Tsutsumi, Kengo Nakai, Yoshitaka Saiki. Constructing low-dimensional ordinary differential equations from chaotic time series of high- or infinite-dimensional systems using radial-function-based regression. Physical Review E. 2023. 108. 5. 054220
SAIKI Yoshitaka, YAMADA Michio. On the relations between statistical values along unstable periodic orbits in differential equation systems (Nonlinear Dynamics in Macro-economics). 2011. 1768. 143-149
Kobayashi M. U., Yamada M., Saiki Y. 28pQD-6 Mechanism of a temporal intermittency in the shell model turbulence. Meeting abstracts of the Physical Society of Japan. 2009. 64. 2. 245-245
Education (3)：
- 2006 The University of Tokyo Graduate School of Mathematical Sciences
- 2002 The University of Tokyo Graduate School of Mathematical Sciences
- 2000 The University of Tokyo Faculty of Liberal Arts
Professional career (1)：
PhD (The University of Tokyo)
Work history (10)：
2020/04/01 - 現在 Hitotsubashi University Faculty of Commerce and Management Professor
2020/04/01 - 現在 Hitotsubashi University Graduate School of Business Administration Professor
2018/04/01 - 2020/03/31 Hitotsubashi University Graduate School of Business Administration Associate Professor
2016/10/01 - 2020/03/31 Japan Science and Technology Agency PRESTO PRESTO researcher
2017/03/20 - 2019/03/31 University of Maryland Institute for Physical Science and Technology Visiting Scholar
2013/04/01 - 2018/03/31 Hitotsubashi University Graduate School of Commerce and Management Associate Professor
2010/09 - 2013/03 Hokkaido University Faculty of Science Assistant professor
2010/04/01 - 2010/08/31 Hokkaido University Faculty of Science Postdoc
2007/04/01 - 2010/03/31 Japan Society for the Promotion of Science Research Institute for Mathematical Sciences, Kyoto University Postdoctoral Fellow of Japan Society for the Promotion of Science
2006/04/01 - 2007/03/31 Keio University Faculty of Science and Technology Assistant Professor (COE)
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Association Membership(s) (4)：
Japan Society of Monetary Economics
, The Japanese Society for Mathematical Economics
, The Japan Society for Industrial and Applied Mathematics
, The Mathematical Society of Japan
