Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aging transition in the absence of inactive oscillators   The role of counter-rotating oscillators in an ensemble of coexisting co- and
counter-rotating oscillators is examined by increasing the proportion of the
latter. The phenomenon of aging transition was identified at a critical value
of the ratio of the counter-rotating oscillators, which was otherwise realized
only by increasing the number of inactive oscillators to a large extent. The
effect of the mean-field feedback strength in the symmetry preserving coupling
is also explored. The parameter space of aging transition was increased
abruptly even for a feeble decrease in the feedback strength and subsequently,
the aging transition was observed at a critical value of the feedback strength
surprisingly without any counter-rotating oscillators. Further, the study was
extended to symmetry breaking coupling using conjugate variables and it was
observed that the symmetry breaking coupling can facilitating the onset of
aging transition even in the absence of counter-rotating oscillators and for
the unit value of the feedback strength. In general, the parameter space of
aging transition was found to increase by increasing the frequency of
oscillators and by increasing the proportion of the counter-rotating
oscillators in both the symmetry preserving and symmetry breaking couplings.
Further, the transition from oscillatory to aging transition occurs via a Hopf
bifurcation, while the transition from aging transition to oscillation death
state emerges via Pitchfork bifurcation. Analytical expressions for the
critical ratio of the counter- rotating oscillators are deduced to find the
stable boundaries of the aging transition.

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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics