Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Andronov-Hopf bifurcation with and without parameter in a cubic
  memristor oscillator with a line of equilibria   The model of a memristor-based oscillator with cubic nonlinearity is studied.
The considered system has infinitely many equilibrium points, which build a
line of equilibria in the phase space. Numerical modeling of the dynamics is
combined with bifurcational analysis. It is shown that oscillation excitation
has distinctive features of the supercritical Andronov--Hopf bifurcation and
can be achieved by changing of a parameter value as well as by variation of
initial conditions. Therefore the considered bifurcation is called
Andronov-Hopf bifurcation with and without parameter.

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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph