83 citations · 260 across the 21 of their papers we have counts for
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math.DS2018★ 1 cited
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.DS2018★ 28 cited
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…