Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emission of autoresonant trajectories and thresholds of resonant pumping   We study an autoresonant asymptotic behaviour for nonlinear oscillators under
slowly changing frequency and amplitude of external driver. As a result we
obtain formulas for threshold values of amplitude and frequency of the driver
when autoresonant behaviour for the nonlinear oscillator is observed. Also we
study a capture into resonance and emission out of the resonance for
trajectories of the oscillator. A measure of autoresonant asymptotic behaviours
for nonlinear oscillator is obtained.

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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph