Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of data gaps on correlation dimension computed from light curves
  of variable stars   Observational data, especially astrophysical data, is often limited by gaps
in data that arises due to lack of observations for a variety of reasons. Such
inadvertent gaps are usually smoothed over using interpolation techniques.
However the smoothing techniques can introduce artificial effects, especially
when non-linear analysis is undertaken. We investigate how gaps can affect the
computed values of correlation dimension of the system, without using any
interpolation. For this we introduce gaps artificially in synthetic data
derived from standard chaotic systems, like the R{\"o}ssler and Lorenz, with
frequency of occurrence and size of missing data drawn from two Gaussian
distributions. Then we study the changes in correlation dimension with change
in the distributions of position and size of gaps. We find that for a
considerable range of mean gap frequency and size, the value of correlation
dimension is not significantly affected, indicating that in such specific
cases, the calculated values can still be reliable and acceptable. Thus our
study introduces a method of checking the reliability of computed correlation
dimension values by calculating the distribution of gaps with respect to its
size and position. This is illustrated for the data from light curves of three
variable stars, R Scuti, U Monocerotis and SU Tauri. We also demonstrate how a
cubic spline interpolation can cause a time series of Gaussian noise with
missing data to be misinterpreted as being chaotic in origin. This is
demonstrated for the non chaotic light curve of variable star SS Cygni, which
gives a saturated D$_{2}$ value, when interpolated using a cubic spline. In
addition we also find that a careful choice of binning, in addition to reducing
noise, can help in shifting the gap distribution to the reliable range for
D$_2$ values.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an