Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametric oscillations in a dissipative bosonic Josephson junction   We study the dynamics of a nonlinear dissipative bosonic Josephson junction
(BJJ) with a time-dependent sinusoidal perturbation in interaction term. We
demonstrate parametric resonance where the system undergoes sustained periodic
oscillations even in the presence of dissipation. This happens when the
frequency of the perturbation is close to twice the frequency of the
unperturbed Josephson oscillations and the strength of perturbation exceeds a
critical threshold. We have formulated the threshold conditions for parametric
oscillations. To explore the nature of the oscillations, we carry out a
multiple time scale analysis of the stability boundaries in terms of the
V-shaped Arnold's tongue in the parameter space. Full numerical simulations
have been performed for the zero-, running- and $\pi$-phase modes of nonlinear
Josephson effect. Our results demonstrate that in $\pi$-phase mode, the system
is capable of making a transition from regular parametric to chaotic parametric
oscillations as one crosses the stability boundary. Also, the phase difference
undergoes phase slip before executing sustained parametric oscillations.

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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: eess