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math.DS2021
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…
math.DS2018
Quasiperiodic orbits in Siegel disks/balls and the Babylonian problem
Yoshitaka Saiki, James A. Yorke
We investigate numerically complex dynamical systems where a fixed point is surrounded by a disk or ball of quasiperiodic orbits, where there is a change of variables (or conjugacy…
math.DS2017
Solving the Babylonian Problem of quasiperiodic rotation rates
Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander +1
A trajectory is quasiperiodic if the trajectory lies on and is dense in some -dimensional torus, and there is a choice of coordinates on the…