Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete modes of star-shaped oscillating drops   The star-shaped oscillation of water drops has been observed in various
physical situations with different sources of vertical excitation. Previous
studies apply a quasi-2D model to analyze the resonance frequency and only
consider the azimuthal oscillation mode. In this paper, we find that the upper
surface of water drops also develop different motion patterns due to parametric
instability and it is the coupling of surface motion and azimuthal oscillation
that leads to star-shaped oscillations. We will introduce the analysis of the
surface mode, combining with the azimuthal mode to give a complete description
of the motion of water drops. We propose a new dispersion relation based on the
complete description, which provides a significant increase of accuracy in
predicting the oscillating frequencies.

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The categories of this paper are: math-ph
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas