Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Environment induced Symmetry Breaking of the Oscillation-Death State   We investigate the impact of a common external system, which we call a common
environment, on the Oscillator Death (OD) states of a group of Stuart-Landau
oscillators. The group of oscillators yield a completely symmetric OD state
when uncoupled to the external system, i.e. the two OD states occur with equal
probability. However, remarkably, when coupled to a common external system this
symmetry is significantly broken. For exponentially decaying external systems,
the symmetry breaking is very pronounced for low environmental damping and
strong oscillator-environment coupling. This is evident through the sharp
transition from the symmetric to asymmetric state occurring at a critical
oscillator-environment coupling strength and environmental damping rate.
Further, we consider time-varying connections to the common external
environment, with a fraction of oscillator-environment links switching on and
off. Interestingly, we find that the asymmetry induced by environmental
coupling decreases as a power law with increase in fraction of such on-off
connections. The suggests that blinking oscillator-environment links can
restore the symmetry of the OD state. Lastly, we demonstrate the generality of
our results for a constant external drive, and find marked breaking of symmetry
in the OD states there as well. When the constant environmental drive is large,
the asymmetry in the OD states is very large, and the transition between the
symmetric and asymmetric state with increasing oscillator-environment coupling
is very sharp. So our results demonstrate an environmental coupling-induced
mechanism for the prevalence of certain OD states in a system of oscillators,
and suggests an underlying process for obtaining certain states preferentially
in ensembles of oscillators with environment-mediated coupling.

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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: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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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: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: hep-ex