83 citations · 260 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
Piecewise-linear maps with heterogeneous chaos
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
Chaotic dynamics can be quite heterogeneous in the sense that in some regions the dynamics are unstable in more directions than in other regions. When trajectories wander between t…
Low-dimensional paradigms for high-dimensional hetero-chaos
Yoshitaka Saiki, Miguel A. F. Sanjuan, James A. Yorke
The dynamics on a chaotic attractor can be quite heterogeneous, being much more unstable in some regions than others. Some regions of a chaotic attractor can be expanding in more d…
Machine-learning inference of fluid variables from data using reservoir computing
Kengo Nakai, Yoshitaka Saiki
We infer both microscopic and macroscopic behaviors of a three-dimensional chaotic fluid flow using reservoir computing. In our procedure of the inference, we assume no prior knowl…
The continuous route to multi-chaos
Yoshitaka Saiki, Miguel A. F. Sanjuan, James A. Yorke
For low-dimensional chaotic attractors there is usually a single number of unstable dimensions for all of its periodic orbits and we can say such attractors exhibit "mono-chaos". I…