Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-term behavior of solutions of the equation \dot\phi + \sin\phi=f
  with periodic f and the modeling of dynamics of overdamped Josephson
  junctions: Unlectured notes   The method of efficient description of long-term behavior of solutions of the
non-linear first order ODE \dot\phi+\sin\phi=f for arbitrary periodic $f$ is
discussed. The criterion enabling one to separate and identify the
qualitatively different solutions is established. The applications of the
method to the modeling of dynamics of overdamped Josephson junctions in
superconductors are outlined.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga