{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:16:13Z","timestamp":1760235373296,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2021,8,17]],"date-time":"2021-08-17T00:00:00Z","timestamp":1629158400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004329","name":"Javna Agencija za Raziskovalno Dejavnost RS","doi-asserted-by":"publisher","award":["P1-0306, J1-2457, J1-9112, P1-0288"],"award-info":[{"award-number":["P1-0306, J1-2457, J1-9112, P1-0288"]}],"id":[{"id":"10.13039\/501100004329","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, the linearizability of a 2:\u22123 resonant system with quadratic nonlinearities is studied. We provide a list of the conditions for this family of systems having a linearizable center. The conditions for linearizablity are obtained by computing the ideal generated by the linearizability quantities and its decomposition into associate primes. To successfully perform the calculations, we use an approach based on modular computations. The sufficiency of the obtained conditions is proven by several methods, mainly by the method of Darboux linearization.<\/jats:p>","DOI":"10.3390\/sym13081510","type":"journal-article","created":{"date-parts":[[2021,8,17]],"date-time":"2021-08-17T21:17:06Z","timestamp":1629235026000},"page":"1510","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Linearizability of 2:\u22123 Resonant Systems with Quadratic Nonlinearities"],"prefix":"10.3390","volume":"13","author":[{"given":"Maja","family":"\u017dulj","sequence":"first","affiliation":[{"name":"Faculty of Energy Technology, University of Maribor, Ho\u010devarjev trg 1, SI-8270 Kr\u0161ko, Slovenia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Brigita","family":"Fer\u010dec","sequence":"additional","affiliation":[{"name":"Faculty of Energy Technology, University of Maribor, Ho\u010devarjev trg 1, SI-8270 Kr\u0161ko, Slovenia"},{"name":"Faculty of Natural Science and Mathematics, University of Maribor, Koro\u0161ka Cesta 160, SI-2000 Maribor, Slovenia"},{"name":"Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1715-0297","authenticated-orcid":false,"given":"Matej","family":"Mencinger","sequence":"additional","affiliation":[{"name":"Faculty of Civil Engineering, Transportation Engineering and Architecture, University of Maribor, Smetanova 17, SI-2000 Maribor, Slovenia"},{"name":"Institute of Mathematics, Physics and Mechanics, Jadranska 19, SI-1000 Ljubljana, Slovenia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,17]]},"reference":[{"key":"ref_1","unstructured":"Romanovski, V.G., and Shafer, D.S. 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