@misc{10481/77319,
year = {2022},
month = {8},
url = {https://hdl.handle.net/10481/77319},
abstract = {This study explores the use of Shannon entropy to find periodic patterns in the
oscillation spectra of δ Scuti stars. We have developed a new diagnostic tool for
detecting potential patterns that scans for minimal entropic states in the wellknown
échelle diagrams. Here, we describe the basic mathematical grounds of
the Shannon entropy and how it can be applied to échelle diagrams through a
new diagnostic diagram: the entropy (H) spectrum (HSpec). The method is first
validated with the solar-like pulsator HD 49933, for which the large separation
was found compatible with values published in the literature. Then we
computed the entropy spectrum for two well-studied δ Scuti stars:
HD174936 and HD174966, for which HSpec analysis was able to accurately
determine their large separation (or some multiple or submultiple of it).
Although these results are promising, the HSpec tool presents several
limitations: it has a strong dependence on the probability distribution of the
frequencies in the échelle diagram, and on the way it is calculated. We discuss
possible solutions to this that rely on 2D probability distributions and conditional
entropy.},
organization = {University of Granada},
organization = {Spanish public funds for research under project "Contribution of the UGR	
MCNI/AEI/PID2019-107061GB-C64},
publisher = {Frontiers},
keywords = {Asteroseismology},
keywords = {Time series analysis},
keywords = {Stellar structure and evolution},
keywords = {Information theory},
keywords = {Stellar pulsations},
keywords = {Delta Scuti stars},
keywords = {Solar-like oscillations},
title = {The potential of Shannon entropy to find the large separation of δ Scuti stars: The entropy spectrum},
doi = {10.3389/fspas.2022.953231},
author = {Suárez Yanes, Juan Carlos},
}