Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous-time Discontinuous Equations in Bounded Confidence Opinion
  Dynamics   This report studies a continuous-time version of the well-known
Hegselmann-Krause model of opinion dynamics with bounded confidence. As the
equations of this model have discontinuous right-hand side, we study their
Krasovskii solutions. We present results about existence and completeness of
solutions, and asymptotical convergence to equilibria featuring a
"clusterization" of opinions. The robustness of such equilibria to small
perturbations is also studied.

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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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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: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat