Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The transient route to resonance   The periodically driven harmonic oscillator with damping is one of the most
elementary and trusted models in physics and normally applied in its steady
state, disregarding specific initial conditions and associated transients. For
example, steady state solutions are already sufficient to describe resonance.
In some applications transient solutions might play a role though, and a review
of these might be useful. In order to characterize the transients of the
harmonic oscillator, its winding number is graphed in dependence of initial
conditions. These visualizations show a complexity of the transients of the
harmonic oscillator that are not readily evident from the inspection of the
model alone.

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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an