Quasi-periodic Orbits in Siegel Disks/Balls and the Babylonian Problem

@article{Saiki2018QuasiperiodicOI,
  title={Quasi-periodic Orbits in Siegel Disks/Balls and the Babylonian Problem},
  author={Yoshitaka Saiki and James A. Yorke},
  journal={Regular and Chaotic Dynamics},
  year={2018},
  volume={23},
  pages={735-750}
}
We investigate numerically complex dynamical systems where a fixed point is surrounded by a disk or ball of quasi-periodic orbits, where there is a change of variables (or conjugacy) that converts the system into a linear map. We compute this “linearization” (or conjugacy) from knowledge of a single quasi-periodic trajectory. In our computations of rotation rates of the almost periodic orbits and Fourier coefficients of the conjugacy, we only use knowledge of a trajectory, and we do not assume… Expand

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