The author considers the problem of obtaining realistic lower bounds for the Siegel radius. Recent advances of the analysis of Siegel disks allows one to give a very accurate numerical algorithm based on rigorous results. He finds that for non-quadratic polynomial maps the maximal Siegel radius might correspond to rotation numbers different from the golden mean.
A Method for Accurate Stability Bounds in a Small Denominator Problem
MARMI, Stefano
1988
Abstract
The author considers the problem of obtaining realistic lower bounds for the Siegel radius. Recent advances of the analysis of Siegel disks allows one to give a very accurate numerical algorithm based on rigorous results. He finds that for non-quadratic polynomial maps the maximal Siegel radius might correspond to rotation numbers different from the golden mean.File in questo prodotto:
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