Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Delay-Induced Resonance in the Time-Delayed Duffing Oscillator   The phenomenon of delay-induced resonance implies that in a nonlinear system
a time-delay term may be used as an effective enhancer of the oscillations
caused by an external forcing maintaining the same frequency. This is possible
for the parameters for which the time-delay induces sustained oscillations.
Here, we study this type of resonance in the overdamped and underdamped
time-delayed Duffing oscillators, and we explore some new features. One of them
is the conjugate phenomenon: the oscillations caused by the time-delay may be
enhanced by means of the forcing without modifying their frequency. The
resonance takes place when the frequency of the oscillations induced by the
time-delay matches the ones caused by the forcing and vice versa. This is an
interesting result as the nature of both perturbations is different. Even for
the parameters for which the time-delay does not induce sustained oscillations,
we show that a resonance may appear following a different mechanism.

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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg