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arXiv · 1403.0986

Destruction of invariant circles for Gevrey area-preserving twist maps

Lin Wang
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Abstract

In this paper, we show that for exact area-preserving twist maps on annulus, the invariant circles with a given rotation number can be destroyed by arbitrarily small Gevrey-$\alpha$ perturbations of the integrable generating function in the $C^r$ topology with $r<4-\frac{2}{\alpha}$, where $\alpha>1$.

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Lin Wang. 2014-03-05. Destruction of invariant circles for Gevrey area-preserving twist maps. https://doi.org/10.1007/s10884-014-9361-6

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