Putative rhythms in attentional switching can be explained by aperiodic temporal structure.

"data availability the results of all simulations are available at this repository: https://osf io/6bs4e/ .; the data used for the reanalyses are publicly available at the following repositories: ho et al 14 https://ars els-cdn com/content/image/1-s2 0-s0960982217313209-mmc2 xlsx ; davidson et al 17 https://figshare com/projects/crossmodal_binocular_rivalry_attention_sampling_project/56252 ; senoussi et al 21 https://osf io/2d9sc/? data availability the results of all simulations are available at this repository: https://osf"

"code availability all code used to perform the analyses and generate the plots is available at https://github com/gbrookshire/simulated_rhythmic_sampling ."

"Competing interests The author declares no competing interests."

"This project has benefited from helpful discussions with O. Jensen, A. Landau, I. Fiebelkorn, P. Fries, F. van Ede, H. Nusbaum, A. Pesquita and the Neuronal Oscillations laboratory at the University of Birmingham. I thank the authors of the reanalysed datasets for making their data publicly available: H. T. Ho, J. Leung, D. C. Burr, D. Alais, M. C. Morrone, M. J. Davidson, J. J. A. van Boxtel, N. Tsuchiya, M. Senoussi, J. C. Moreland, N. A. Busch, L. Dugué and R. Michel. This study was supported by a Wellcome Trust Investigator Award in Science (no. 207550) awarded to O. Jensen. The funders had no role in study design, data collection and analysis, decision to publish or preparation of the manuscript."