Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Expansion of the Homoclinic Splitting Matrix for the Rapidly,
  Quasiperiodically, Forced Pendulum   We study a Hamiltonian describing a pendulum coupled with several
anisochronous oscillators, devising an asymptotic expansion for the splitting
(matrix) associated with a homoclinic point. This expansion consists of
contributions that are manifestly exponentially small in the limit of vanishing
hyperbolicity, by a shift-of-contour argument. Hence, we infer a similar upper
bound on the splitting itself.

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The categories of this paper are: supr-con
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat