Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-analytic properties of the KAM curve   Classical KAM theory guarantees the existence of a positive measure set of
invariant tori for sufficiently smooth non-degenerate near-integrable systems.
When seen as a function of the frequency this invariant collection of tori is
called the KAM curve of the system. Restricted to analytic regularity, we
obtain strong quasi-analyticity properties for these objects. In particular, we
prove that KAM curves completely characterize the underlying systems. We also
show some of the dynamical implications on systems whose KAM curves share
certain common features.

22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: stat