A note on Gevrey regular KAM theory and the inverse approximation lemma |
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Authors: | Florian Wagener |
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Affiliation: |
a Centre for Nonlinear Dynamics in Economics and Finance (CeNDEF), Universiteit van Amsterdam, Amsterdam, WB, the Netherlands |
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Abstract: | A theorem of the type Kolmogorov-Arnold-Moser holds for small real analytic perturbations of a family of parallel flows on a torus, yielding conjugacies to Diophantine parallel flows that depend Whitney-Gevrey regularly on parameters. This follows from an adaptation of the inverse approximation lemma. The method of proof is general and extends to a wide range of problems of KAM type. |
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Keywords: | |
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