Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of Asymmetric Parameters in Higher-Order Coupling With Bimodal
  Frequency Distribution   We investigate the phase diagram of the Sakaguchi-Kuramoto model with a
higher order interaction along with the traditional pairwise interaction. We
also introduce asymmetry parameters in both the interaction terms and
investigate the collective dynamics and their transitions in the phase diagrams
under both unimodal and bimodal frequency distributions. We deduce the
evolution equations for the macroscopic order parameters and eventually derive
pitchfork and Hopf bifurcation curves. Transition from the incoherent state to
standing wave pattern is observed in the presence of the unimodal frequency
distribution. In contrast, a rich variety of dynamical states such as the
incoherent state, partially synchronized state-I, partially synchronized
state-II, and standing wave patterns and transitions among them are observed in
the phase diagram, via various bifurcation scenarios including saddle-node and
homoclinic bifurcations, in the presence of bimodal frequency distribution.
Higher order coupling enhances the spread of the bistable regions in the phase
diagrams and also leads to the manifestation of bistability between incoherent
and partially synchronized states even with unimodal frequency distribution,
which is otherwise not observed with the pairwise coupling. Further, the
asymmetry parameters facilitate the onset of several bistable and multistable
regions in the phase diagrams. Very large values of the asymmetry parameters
allow the phase diagrams to admit only the monostable dynamical states.

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: q-fin