{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:32:13Z","timestamp":1760243533220,"version":"build-2065373602"},"reference-count":3,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2012,2,15]],"date-time":"2012-02-15T00:00:00Z","timestamp":1329264000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The regular autonomous asynchronous systems are the non-deterministic Boolean dynamical systems and universality means the greatest in the sense of the inclusion. The paper gives four definitions of symmetry of these systems in a slightly more general framework, called semi-regularity, and also many examples.<\/jats:p>","DOI":"10.3390\/sym4010116","type":"journal-article","created":{"date-parts":[[2012,2,15]],"date-time":"2012-02-15T12:03:12Z","timestamp":1329307392000},"page":"116-128","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Defining the Symmetry of the Universal Semi-Regular Autonomous Asynchronous Systems"],"prefix":"10.3390","volume":"4","author":[{"given":"Serban E.","family":"Vlad","sequence":"first","affiliation":[{"name":"Street Zimbrului, Nr. 3, Bl. PB68, Ap. 11, 410430, Oradea, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2012,2,15]]},"reference":[{"key":"ref_1","unstructured":"Kuznetsov, Y.A. (1997). Elements of Applied Bifurcation Theory, Springer. [2nd ed.]."},{"key":"ref_2","first-page":"277","article-title":"Boolean dynamical systems","volume":"3","author":"Vlad","year":"2007","journal-title":"ROMAI J."},{"key":"ref_3","first-page":"131","article-title":"Universal regular autonomous asynchronous systems: Fixed points, equivalencies and dynamical bifurcations","volume":"5","author":"Vlad","year":"2009","journal-title":"ROMAI J."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/4\/1\/116\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:48:54Z","timestamp":1760219334000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/4\/1\/116"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2,15]]},"references-count":3,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2012,3]]}},"alternative-id":["sym4010116"],"URL":"https:\/\/doi.org\/10.3390\/sym4010116","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2012,2,15]]}}}