Boundaries of Siegel Disks for Conservative Systems
F.M. Tangerman
TL;DR
This paper investigates the boundaries of Siegel disks in a specific conservative complex 2D map, using numerical methods to analyze their smoothness and support related conjectures.
Contribution
It introduces a numerical approach to study Siegel disk boundaries in a complex conservative system and formulates conjectures about their properties.
Findings
Numerical visualization of Siegel disk boundaries.
Support for conjectures on boundary smoothness.
Analysis of boundary properties in a complex conservative map.
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.
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