%0 Journal Article %1 WOS:000478952800014 %A de Freitas, D B %A Nepomuceno, M M F %A Rios, L D Alves %A Chagas, M L Das %A Medeiros, J R De %C TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND %D 2019 %I IOP PUBLISHING LTD %J ASTROPHYSICAL JOURNAL %K Sun: activity; analysis; data rotation} solar-type; stars: {methods: %N 2 %R 10.3847/1538-4357/ab2a0c %T New Suns in the Cosmos. V. Stellar Rotation and Multifractality in Active Kepler Stars %V 880 %X In the present study, high-precision time series photometry for the active Kepler stars is described in the language of multifractals. We explore the potential of using the rescaled-range analysis (R/S) and multifractal detrended moving average analysis methods to characterize the multiscale structure of the observed time series from a sample of similar to 40,000 active stars. Among these stars, 6486 have surface differential rotation measurement, whereas 1846 have no signature of differential rotation. As a result, the Hurst exponent (H) derived from both methods shows a strong correlation with the period derived from rotational modulation. In addition, the variability range R-var reveals how this correlation follows a high activity ``line.'' We also verify that the H-index is an able parameter for distinguishing the different signs of stellar rotation that can exist between the stars with and without differential rotation. In summary, the results indicate that the Hurst exponent is a promising index for estimating photometric magnetic activity.

@article{WOS:000478952800014, abstract = {In the present study, high-precision time series photometry for the active Kepler stars is described in the language of multifractals. We explore the potential of using the rescaled-range analysis (R/S) and multifractal detrended moving average analysis methods to characterize the multiscale structure of the observed time series from a sample of similar to 40,000 active stars. Among these stars, 6486 have surface differential rotation measurement, whereas 1846 have no signature of differential rotation. As a result, the Hurst exponent (H) derived from both methods shows a strong correlation with the period derived from rotational modulation. In addition, the variability range R-var reveals how this correlation follows a high activity ``line.'' We also verify that the H-index is an able parameter for distinguishing the different signs of stellar rotation that can exist between the stars with and without differential rotation. In summary, the results indicate that the Hurst exponent is a promising index for estimating photometric magnetic activity.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND}, author = {de Freitas, D B and Nepomuceno, M M F and Rios, L D Alves and Chagas, M L Das and Medeiros, J R De}, biburl = {https://www.bibsonomy.org/bibtex/2f0dcbe10789c8d249be62eb941b62515/ppgfis_ufc_br}, doi = {10.3847/1538-4357/ab2a0c}, interhash = {46ee8c63ebe9fc8c2cfa96b935201ad5}, intrahash = {f0dcbe10789c8d249be62eb941b62515}, issn = {0004-637X}, journal = {ASTROPHYSICAL JOURNAL}, keywords = {Sun: activity; analysis; data rotation} solar-type; stars: {methods:}, number = 2, publisher = {IOP PUBLISHING LTD}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {New Suns in the Cosmos. V. Stellar Rotation and Multifractality in Active Kepler Stars}, tppubtype = {article}, volume = 880, year = 2019 }