Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: KAM tori are no more than sticky   When a Gevrey smooth perturbation is applied to a quasi-convex integrable
Hamiltonian, it is known that the KAM invariant tori that survive are sticky,
that is, doubly exponentially stable. We show by examples the optimality of
this effective stability.

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The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat