Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-degenerate Liouville tori are KAM stable   In this short note, we prove that a quasi-periodic torus, with a non-resonant
frequency (that can be Diophantine or Liouville) and which is invariant by a
sufficiently regular Hamiltonian flow, is KAM stable provided it is Kolmogorov
non-degenerate. When the Hamiltonian is smooth (respectively Gevrey-smooth,
respectively real-analytic), the in-variant tori are smooth (respectively
Gevrey-smooth, respectively real-analytic). This answers a question raised in a
recent work by Eliasson, Fayad and Krikorian ([EFK]). We also take the
opportunity to ask other questions concerning the stability of non-resonant
invariant quasi-periodic tori in (analytic or smooth) Hamiltonian systems.

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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph