{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T22:27:04Z","timestamp":1775600824860,"version":"3.50.1"},"reference-count":45,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,2,3]],"date-time":"2024-02-03T00:00:00Z","timestamp":1706918400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["22-17-00114"],"award-info":[{"award-number":["22-17-00114"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics"],"abstract":"<jats:p>Geomagnetic field measurements indicate that at present we may be on the brink of the Earth\u2019s magnetic field reversal, potentially resulting in all the accompanying negative consequences for the mankind. Mathematical modelling is necessary in order to find precursors for reversals and excursions of the magnetic field. With this purpose in mind, following the Podvigina scenario for the emergence of the reversals, we have studied convective flows not far (in the parameter space) from their onset and the onset of magnetic field generation, and found a flow demonstrating reversals of polarity of some harmonics comprising the magnetic field. We discuss a simulated regime featuring patterns of behaviour that apparently indicate future reversals of certain harmonics of the magnetic field. It remains to be seen whether reversal precursors similar to the observed ones exist and might be applicable for the much more complex geomagnetic dynamo.<\/jats:p>","DOI":"10.3390\/math12030490","type":"journal-article","created":{"date-parts":[[2024,2,5]],"date-time":"2024-02-05T09:31:58Z","timestamp":1707125518000},"page":"490","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Predictability of Magnetic Field Reversals"],"prefix":"10.3390","volume":"12","author":[{"given":"Daniil","family":"Tolmachev","sequence":"first","affiliation":[{"name":"Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Ac. Sci., 84\/32 Profsoyuznaya St., 117997 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5179-4344","authenticated-orcid":false,"given":"Roman","family":"Chertovskih","sequence":"additional","affiliation":[{"name":"Research Center for Systems and Technologies (SYSTEC), Advanced Production and Intelligent Systems Associated Laboratory (ARISE), Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal"}]},{"given":"Simon Ranjith","family":"Jeyabalan","sequence":"additional","affiliation":[{"name":"Research Center for Systems and Technologies (SYSTEC), Advanced Production and Intelligent Systems Associated Laboratory (ARISE), Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal"}]},{"given":"Vladislav","family":"Zheligovsky","sequence":"additional","affiliation":[{"name":"Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Ac. Sci., 84\/32 Profsoyuznaya St., 117997 Moscow, Russia"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Jacobs, J.A. (1994). Reversals of the Earth\u2019s Magnetic Field, Cambridge University Press. [2nd ed.].","DOI":"10.1017\/CBO9780511524929"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2309","DOI":"10.1073\/pnas.1916553117","article-title":"Paleomagnetism indicates that primary magnetite in zircon records a strong Hadean geodynamo","volume":"117","author":"Tarduno","year":"2020","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1029\/1998RG900004","article-title":"Geomagnetic polarity transitions","volume":"37","author":"Merrill","year":"1999","journal-title":"Rev. Geophys."},{"key":"ref_4","unstructured":"Ueda, S. (1978). 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