38 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyushu UniversityJP4 papers
- The University of TokyoJP3 papers
- Tokyo Institute of TechnologyJP3 papers
- Tokyo University of ScienceJP3 papers
- Hitotsubashi UniversityJP2 papers
- Hokkaido UniversityJP2 papers
- Keio UniversityJP2 papers
- University of Northern ColoradoUS2 papers
- Agency for Science, Technology and ResearchSG1 paper
- Aichi Institute of TechnologyJP1 paper
- Delft University of TechnologyNL1 paper
- High Energy Accelerator Research OrganizationJP1 paper
6 papers · 1 filter
Constructing differential equations using only a scalar time-series about continuous time chaotic dynamics
Natsuki Tsutsumi, Kengo Nakai, Yoshitaka Saiki
We propose a simple method of constructing a system of differential equations of chaotic behavior based on the regression only from a scalar observable time-series data. The estima…
Solving the Quispel-Roberts-Thompson maps using Kajiwara-Noumi-Yamada's representation of elliptic curves
Xing Li, Tomoyuki Takenawa
It is well known that the dynamical system determined by a Quispel-Roberts-Thompson map (a QRT map) preserves a pencil of biquadratic polynomial curves on ${\mathbb{CP}}^1 \times {…
Dynamical system analysis of a data-driven model constructed by reservoir computing
Miki U Kobayashi, Kengo Nakai, Yoshitaka Saiki +1
This study evaluates data-driven models from a dynamical system perspective, such as unstable fixed points, periodic orbits, chaotic saddle, Lyapunov exponents, manifold structures…
Space of initial conditions and geometry of two 4-dimensional discrete Painlevé equations
Adrian Stefan Carstea, Tomoyuki Takenawa
A geometric study of two 4-dimensional mappings is given. By the resolution of indeterminacy they are lifted to pseudo-automorphisms of rational varieties obtained from $({\mathbb…
Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations
Adrian Stefan Carstea, Anton Dzhamay, Tomoyuki Takenawa
It is well known that two-dimensional mappings preserving a rational elliptic fibration, like the Quispel-Roberts-Thompson mappings, can be deautonomized to discrete Painlevé equat…
A classification of two dimensional integrable mappings and rational elliptic surfaces
A. S. Carstea, T. Takenawa
We classify two dimensional integrable mappings by investigating the actions on the fiber space of rational elliptic surfaces. While the QRT mappings can be restricted on each fibe…