Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Response solutions for forced systems with large dissipation and
  arbitrary frequency vectors   We study the behaviour of one-dimensional strongly dissipative systems
subject to a quasi-periodic force. In particular we are interested in the
existence of response solutions, that is quasi-periodic solutions having the
same frequency vector as the forcing term. Earlier results available in the
literature show that, when the dissipation is large enough and a suitable
function involving the forcing has a simple zero, response solutions can be
proved to exist and to be attractive provided some Diophantine condition is
assumed on the frequency vector. In this paper we show that the results extend
to the case of arbitrary frequency vectors.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom