| Machine-learning inference of fluid variables from data using reservoir computing K Nakai, Y Saiki Physical Review E 98 (2), 023111, 2018 | 80 | 2018 |
| Quantitative quasiperiodicity S Das, Y Saiki, E Sander, JA Yorke Nonlinearity 30 (11), 4111, 2017 | 47 | 2017 |
| Amplitude-phase synchronization at the onset of permanent spatiotemporal chaos ACL Chian, RA Miranda, EL Rempel, Y Saiki, M Yamada Physical review letters 104 (25), 254102, 2010 | 42 | 2010 |
| Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors Y Saiki Nonlinear Processes in Geophysics 14 (5), 615-620, 2007 | 39 | 2007 |
| Unstable periodic orbits and chaotic economic growth K Ishiyama, Y Saiki Chaos, Solitons & Fractals 26 (1), 33-42, 2005 | 39 | 2005 |
| Measuring quasiperiodicity S Das, CB Dock, Y Saiki, M Salgado-Flores, E Sander, J Wu, JA Yorke Europhysics Letters 114 (4), 40005, 2016 | 25 | 2016 |
| Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems Y Saiki, M Yamada Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 79 (1 …, 2009 | 21 | 2009 |
| Numerical identification of nonhyperbolicity of the Lorenz system through Lyapunov vectors Y Saiki, MU Kobayashi JSIAM Letters 2, 107-110, 2010 | 19 | 2010 |
| Dynamical system analysis of a data-driven model constructed by reservoir computing MU Kobayashi, K Nakai, Y Saiki, N Tsutsumi Physical Review E 104 (4), 044215, 2021 | 16 | 2021 |
| Piecewise linear maps with heterogeneous chaos Y Saiki, H Takahasi, JA Yorke Nonlinearity 34 (8), 5744, 2021 | 16 | 2021 |
| Low-dimensional paradigms for high-dimensional hetero-chaos Y Saiki, MAF Sanjuán, JA Yorke Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (10), 2018 | 16 | 2018 |
| Quasiperiodicity: rotation numbers S Das, Y Saiki, E Sander, JA Yorke The Foundations of Chaos Revisited: From Poincaré to Recent Advancements …, 2016 | 14 | 2016 |
| Manifold structures of unstable periodic orbits and the appearance of periodic windows in chaotic systems MU Kobayashi, Y Saiki Physical Review E 89 (2), 022904, 2014 | 12 | 2014 |
| Solving the Babylonian problem of quasiperiodic rotation rates S Das, Y Saiki, E Sander, JA Yorke arXiv preprint arXiv:1706.02595, 2017 | 11 | 2017 |
| Chaotic properties of a fully developed model turbulence M Yamada, Y Saiki Nonlinear Processes in Geophysics 14 (5), 631-640, 2007 | 11 | 2007 |
| Generalized Lorenz equations on a three-sphere Y Saiki, E Sander, JA Yorke The European Physical Journal Special Topics 226, 1751-1764, 2017 | 10 | 2017 |
| Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos? Y Saiki, JA Yorke Atmosphere 14 (5), 821, 2023 | 9 | 2023 |
| Machine-learning construction of a model for a macroscopic fluid variable using the delay-coordinate of a scalar observable K Nakai, Y Saiki arXiv preprint arXiv:1903.05770, 2019 | 9 | 2019 |
| Intermittent transition between synchronization and desynchronization in multi-regional business cycles K Esashi, T Onozaki, Y Saiki, Y Sato Structural Change and Economic Dynamics 44, 68-76, 2018 | 7 | 2018 |
| Time averaged properties along unstable periodic orbits and chaotic orbits in two map systems Y Saiki, M Yamada Nonlinear Processes in Geophysics 15 (4), 675-680, 2008 | 7 | 2008 |
