Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Autonomous Dynamical System Description of de Sitter Evolution in Scalar
  Assisted $f(R)-\phi$ Gravity   In this letter we will study the cosmological dynamical system of an $f(R)$
gravity in the presence of a canonical scalar field $\phi$ with an exponential
potential, by constructing the dynamical system in a way that it is render
autonomous. This feature is controlled by a single variable $m$, which when it
is constant, the dynamical system is autonomous. We focus on the $m=0$ case
which, as we demonstrate by using a numerical analysis approach, leads to an
unstable de Sitter attractor, which occurs after $N\sim 60$ $e$-foldings. This
instability can be viewed as a graceful exit from inflation, which is inherent
to the dynamics of de Sitter attractors.

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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: solv-int
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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: stat
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: patt-sol