Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Crucial Formula for Determination of the Occurrence of the
  Non-Chaotic States in the rf-biased Nonlinear Oscillators   The crucial formulas to determine the non-chaotic states in the rf-biased
nonlinear oscillators are derived from the numerical experiments. The nature of
these formulas, which depends on symmetrical properties of the potential well,
in terms of the driven-frequency as a function of the damping constant k is
investigated. All these ones provide crucial guide posts to check which kinds
of solutions (simple or complicated) can be tailored in the dissipative
rf-biased nonlinear oscillators, respectively.

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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci