1. 
Characterizing smallscale dynamics of NavierStokes turbulence with transverse Lyapunov exponents: A data assimilation approach (Peerreviewed) Masanobu Inubushi, Yoshitaka Saiki, Miki U. Kobayashi, Susumu Goto
Physical Review Letters Vol.131,No.25,pp.254001 2023.12

2. 
Constructing lowdimensional ordinary differential equations from chaotic time series of high or infinitedimensional systems using radialfunctionbased regression (Peerreviewed) Natsuki Tsutsumi, Kengo Nakai, Yoshitaka Saiki
Physical Review E Vol.108,No.5,pp.054220 2023.11

3. 
Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps (Peerreviewed) Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
SIAM Journal on Applied Dynamical Systems Vol.22,No.3,pp.18521876 2023.7

4. 
Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos? (Peerreviewed) Yoshitaka Saiki, James A. Yorke
Atmosphere Vol.14,No.5,pp.821 2023.5

5. 
Regional Synchronization during Economic Contraction: The Case of the U.S. and Japan (Peerreviewed) M. Muto, T. Onozaki, Y. Saiki
Applied Economics Vol.55,No.30,pp.34723486 2023.5

6. 
The twisted baker map (Peerreviewed) Y. Saiki, H. Takahasi, J. A. Yorke
Nonlinearity Vol.36,No.3,pp.17761788 2023.2

7. 
Constructing differential equations using only a scalar timeseries about continuous time chaotic dynamics (Peerreviewed) N. Tsutsumi, K. Nakai, Y. Saiki
Chaos Vol.32,No.9,pp.091101 2022.9 
8. 
Dynamical system analysis of a datadriven model constructed by reservoir computing (jointly worked) (Peerreviewed) M. U. Kobayashi, K. Nakai, Y. Saiki, N. Tsutsumi
Physical Review E Vol.104,No.4,pp.044215 2021.10 
9. 
Piecewiselinear maps with heterogeneous chaos (jointly worked) (Peerreviewed) Y. Saiki, H. Takahasi, J. A. Yorke
Nonlinearity Vol.34,No.8,pp.5744 2021.7

10. 
Machinelearning construction of a model for a macroscopic fluid variable using the delaycoordinate of a scalar observable (jointly worked) (Peerreviewed) Kengo Nakai, Yoshitaka Saiki
Discrete and Continuous Dynamical System S Vol.14,No.3,pp.10791092 2021.3

11. 
Solving the Babylonian Problem of quasiperiodic rotation rates (jointly worked) (Peerreviewed) S. Das, Y. Saiki, E. Sander, J. A. Yorke
Discrete and Continuous Dynamical Systems Series S Vol.12,No.8,pp.22792305 2019.12 
12. 
Quasiperiodic orbits in Siegel disks/balls and the Babylonian problem (jointly worked) (Peerreviewed) Yoshitaka Saiki, James A. Yorke
Regular and Chaotic Dynamics Vol.23,No.6 2018.12 
13. 
Lowdimensional paradigms for highdimensional heterochaos (jointly worked) (Peerreviewed) Yoshitaka Saiki, Miguel F. Sanjuan, James A. Yorke
Chaos Vol.28,pp.103110 2018.10 
14. 
Machinelearning inference of fluid variables from data using reservoir computing (jointly worked) (Peerreviewed) Kengo Nakai, Yoshitaka Saiki
Physical Review E Vol.98,pp.023111 2018.8 
15. 
Intermittent transition between synchronization and desynchronization in multiregional business cycles (Peerreviewed) Kunihiko Esashi, Tamotsu Onozaki, Yoshitaka Saiki, Yuzuru Sato
Structural Change and Economic Dynamics Vol.44,pp.6876 2018.3

16. 
Empirical evaluated SDE modelling for dimensionality reduction systems and its predictability estimates (jointly worked) (Peerreviewed) N. Nakano, M. Inatsu, S. Kusuoka, Y. Saiki
Japan Journal of Industrial and Applied Mathematics Vol.35,No.2,pp.553589 2018.2 
17. 
Quantitative quasiperiodicity (Peerreviewed) Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander, James A. Yorke
NONLINEARITY Vol.30,No.11,pp.41114140 2017.11

18. 
Network analysis of chaotic systems through unstable periodic orbits (Peerreviewed) Miki U. Kobayashi, Yoshitaka Saiki
CHAOS Vol.27,No.8,pp.081103:16 2017.8

19. 
Generalized Lorenz equations on a threesphere (Peerreviewed) Yoshitaka Saiki, Evelyn Sander, James A. Yorke
EUROPEAN PHYSICAL JOURNALSPECIAL TOPICS Vol.226,No.9,pp.17511764 2017.6

20. 
Measuring quasiperiodicity (jointly worked) (Peerreviewed) S. Das, C. B. Dock, Y. Saiki, M. SalgadoFlores, E. Sander, J. Wu, J. A. Yorke
Europhysics Letters Vol.114,pp.40005 2016.6 
21. 
Reconstruction of chaotic saddles by classification of unstable periodic orbits: KuramotoSivashinsky equation (Peerreviewed) Yoshitaka Saiki, Michio Yamada, Abraham C. L. Chian, Rodrigo A. Miranda, Erico L. Rempel
CHAOS Vol.25,No.10,pp.103123 2015.10

22. 
重み付きバーコフ平均に基づく準周期軌道に纏わる計算の高速化
Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander, James A Yorke
京都大学数理解析研究所講究録 Vol.2028,pp.9197 2017.5 
23. 
Quasiperiodicity: Rotation Numbers (jointly worked) (Peerreviewed) S. Das, Y. Saiki, E. Sander, J. A. Yorke
The Foundations of Chaos Revisited: From Poincare to Recent Advancements pp.103117 2016.4 
24. 
Chaotic Itinerancy in Regional Business Cycle Synchronization (jointly worked)
K. Esashi, T. Onozaki, Y. Saiki, Y. Sato
立正大学経済学会ディスカッション・ペーパー No.1 2015.11 
25. 
Chaotic Itinerancy in Regional Business Cycle Synchronization (jointly worked)
K. Esashi, T. Onozaki, Y. Saiki, Y. Sato
Discussion Paper, Institute of Economic Research, Chuo University No.237 2014.10 
26. 
時系列データに対する確率微分方程式モデルの統計的係数決定公式と軌道の予測可能性について （共著）
中野直人, 稲津將, 楠岡誠一郎, 齊木吉隆
数理解析研究所講究録 Vol.1919,pp.3860 2014.9

27. 
Manifold structures of Unstable Periodic Orbits and the Appearance of a Periodic Window in Chaotic Systems (jointly worked) (Peerreviewed) Miki U Kobayashi, Yoshitaka Saiki
Physical Review E Vol.89,pp.022904 2014.4 
28. 
Time Averaged Properties Along Unstable Periodic Orbits of the KuramotoSivashinsky Equation (Peerreviewed) Yoshitaka Saiki
Nankai Series in Pure, Applied Mathematics and Theoretical Physics Vol.10,pp.145154 2013.4 
29. 
Economic intermittency in a twocountry model of business cycles coupled by investment (Peerreviewed) Y. Saiki, A. Chian, H. Yoshida
Chaos, Solitons and Fractals Vol.44,pp.418428 2011.4 
30. 
RECOGNITION OF TRANSITION PATTERNS IN A BUSINESS CYCLE MODEL USING UNSTABLE PERIODIC ORBITS (Peerreviewed) Yoshitaka Saiki, KenIchi Ishiyama
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS Vol.21,No.4,pp.12031214 2011.4

31. 
Reply to "Comment on `Time averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems'" (Peerreviewed) Y. Saiki, M. Yamada
Physical Review E Vol.81,pp.019202:12 2010.4 
32. 
Numerical identification of nonhyperbolicity of the Lorenz system through Lyapunov vectors (Peerreviewed) Saiki Yoshitaka, Kobayashi Miki U.
JSIAM Letters Vol.2,pp.107110 2010.4

33. 
AmplitudePhase Synchronization at the Onset of Permanent Spatiotemporal Chaos (Peerreviewed) A. Chian, R. Miranda, E. Rempel, Y. Saiki, M. Yamada
Physical Review Letters Vol.104,pp.254102:14 2010.4 
34. 
Timeaveraged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems (Peerreviewed) Yoshitaka Saiki, Michio Yamada
PHYSICAL REVIEW E Vol.79,No.1,pp.015201:14 2009.1

35. 
Time averaged properties along unstable periodic orbits and chaotic orbits in two map systems (Peerreviewed) Y. Saiki, M. Yamada
NONLINEAR PROCESSES IN GEOPHYSICS Vol.15,No.4,pp.675680 2008 
36. 
Chaotic properties of a fully developed model turbulence (Peerreviewed) M. Yamada, Y. Sailki
NONLINEAR PROCESSES IN GEOPHYSICS Vol.14,No.5,pp.631640 2007 
37. 
Numerical detection of unstable periodic orbits in continuoustime dynamical systems with chaotic behaviors (Peerreviewed) Y. Saiki
NONLINEAR PROCESSES IN GEOPHYSICS Vol.14,No.5,pp.615620 2007 
38. 
Unstable Periodic Orbits embedded in a Chaotic Economic Dynamics Model : A Typical Structure of a Generalized Goodwin Model (Peerreviewed) K. Ishiyama, Y. Saiki
Applied Economics Letters Vol.12,pp.749753 2005.4 
39. 
Unstable periodic orbits and chaotic economic growth (Peerreviewed) K. Ishiyama, Y. Saiki
Chaos, Solitons and Fractals Vol.26,pp.3342 2005.4 