Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radial pulsations of red giant branch stars   We performed hydrodynamic computations of nonlinear stellar pulsations of
population I stars at the evolutionary stages of the ascending red giant branch
and the following luminosity drop due to the core helium flash. Red giants
populating this region of the Hertzsprung--Russel diagram were found to be the
fundamental mode pulsators. The pulsation period is the largest at the tip of
the red giant branch and for stars with initial masses from 1.1M_\odot to
1.9M_\odot ranges from 254 day to 33 day, respectively. The rate of period
change during the core helium flash is comparable with rates of secular period
change in Mira type variables during the thermal pulse in the helium shell
source. The period change rate is largest (\dot\Pi/\Pi\approx -0.01 yr^{-1}) in
stars with initial mass Mzams=1.1M_\odot and decreases to \dot\Pi/\Pi\sim
-0.001\ yr^{-1} for stars of the evolutionary sequence Mzams=1.9M_\odot.
Theoretical light curves of red giants pulsating with periods Pi > 200 day show
the presence of the secondary maximum similar to that observed in many Miras.

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The categories of this paper are: stat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph