Boundaries of Siegel Disks for Conservative Systems
Dynamical Systems
2026-05-21 v1 Complex Variables
Abstract
In this paper, we study a particular conservative standard map in complex dimension 2. In this example, Siegel disks can be visualized and analyzed numerically as to the smoothness of their boundaries. We formulate and numerically support some conjectures.
Cite
@article{arxiv.2605.20953,
title = {Boundaries of Siegel Disks for Conservative Systems},
author = {F. M. Tangerman},
journal= {arXiv preprint arXiv:2605.20953},
year = {2026}
}
Comments
13 pages, 5 figures