New Suns in the Cosmos III: multifractal signature analysis

In present paper, we investigate the multifractality signatures in hourly time series extracted from CoRoT spacecraft database. Our analysis is intended to highlight the possibility that astrophysical time series can be members of a particular class of complex and dynamic processes which require sev...

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Bibliographic Details
Published in:arXiv.org 2016-08
Main Authors: de Freitas, D B, Nepomuceno, M M F, P R V de Moraes Junior, Lopes, C E F, Leão, I C, Das Chagas, M L, Bravo, J P, Costa, A D, Canto Martins, B L, De Medeiros, J R
Format: Article
Language:English
Subjects:
Algorithms
Fractal geometry
Gaussian distribution
Normal distribution
Photometry
Signature analysis
Stellar rotation
Time series
Online Access:Get full text
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Summary:In present paper, we investigate the multifractality signatures in hourly time series extracted from CoRoT spacecraft database. Our analysis is intended to highlight the possibility that astrophysical time series can be members of a particular class of complex and dynamic processes which require several photometric variability diagnostics to characterize their structural and topological properties. To achieve this goal, we search for contributions due to nonlinear temporal correlation and effects caused by heavier tails than the Gaussian distribution, using a detrending moving average algorithm for one-dimensional multifractal signals (MFDMA). We observe that the correlation structure is the main source of multifractality, while heavy-tailed distribution plays a minor role in generating the multifractal effects. Our work also reveals that rotation period of stars is inherently scaled by degree of multifractality. As a result, analyzing the multifractal degree of referred series, we uncover an evolution of multifractality from shorter to larger periods.
ISSN:2331-8422
DOI:10.48550/arxiv.1608.04432