Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the averaging principle for one-frequency systems. Seminorm estimates
  for the error   We extend some previous results of our work [1] on the error of the averaging
method, in the one-frequency case. The new error estimates apply to any
separating family of seminorms on the space of the actions; they generalize our
previous estimates in terms of the Euclidean norm. For example, one can use the
new approach to get separate error estimates for each action coordinate. An
application to rigid body under damping is presented. In a companion paper [2],
the same method will be applied to the motion of a satellite around an oblate
planet.

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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg