Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization of linear oscillators coupled through dynamic networks
  with interior nodes   Synchronization is studied in an array of identical linear oscillators of
arbitrary order, coupled through a dynamic network comprising dissipative
connectors (e.g., dampers) and restorative connectors (e.g., springs). The
coupling network is allowed to contain interior nodes, i.e., those that are not
directly connected to an oscillator. It is shown that the oscillators
asymptotically synchronize if and only if the Schur complement (with respect to
the boundary nodes) of the complex-valued Laplacian matrix representing the
coupling has a single eigenvalue on the imaginary axis.

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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: eess