Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domains of analyticity for response solutions in strongly dissipative
  forced systems   We study the ordinary differential equation $\varepsilon\ddot x + \dot x +
\varepsilon g(x) = \e f(\omega t)$, where $g$ and $f$ are real-analytic
functions, with $f$ quasi-periodic in $t$ with frequency vector $\omega$. If
$c_{0} \in \mathbb{R}$ is such that $g(c_0)$ equals the average of $f$ and
$g'(c_0)\neq0$, under very mild assumptions on $\omega$ there exists a
quasi-periodic solution close to $c_0$. We show that such a solution depends
analytically on $\varepsilon$ in a domain of the complex plane tangent more
than quadratically to the imaginary axis at the origin.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys