Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connectedness of the Arnold tongues for double standard maps   We show that the Arnold tongues of the family of double standard maps
f_{a,b}(x) = 2x + a + (b/pi) sin(2 pi x), are connected. This proof is
accomplished in the complex domain by means of quasiconformal techniques and
depends partly upon the fact that the complexification of f_{a,b} has only one
critical point taking symmetry into account.

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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys