{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T04:53:03Z","timestamp":1648702383224},"reference-count":7,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,5]]},"abstract":"<jats:p> It is well-known that binary-valued cellular automata, which are defined by simple local rules, have the amazing feature of generating very complex patterns and having complicated dynamical behaviors. In this paper, we present a new type of cellular automaton based on real-valued states which produce an even greater amount of interesting structures such as fractal, chaotic and hypercyclic. We also give proofs to real-valued cellular systems which have fixed points and periodic solutions. <\/jats:p>","DOI":"10.1142\/s0218127411029240","type":"journal-article","created":{"date-parts":[[2011,5,24]],"date-time":"2011-05-24T03:16:09Z","timestamp":1306206969000},"page":"1265-1279","source":"Crossref","is-referenced-by-count":5,"title":["ON THE STRUCTURE OF REAL-VALUED ONE-DIMENSIONAL CELLULAR AUTOMATA"],"prefix":"10.1142","volume":"21","author":[{"given":"XU","family":"XU","sequence":"first","affiliation":[{"name":"Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK"}]},{"given":"STEPHEN P.","family":"BANKS","sequence":"additional","affiliation":[{"name":"Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK"}]},{"given":"MAHDI","family":"MAHFOUF","sequence":"additional","affiliation":[{"name":"Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511581113"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511758744"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402006333"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.1993.1007"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1002\/3527601945"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(84)90245-8"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740902355X"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127411029240","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:56:12Z","timestamp":1565121372000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127411029240"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,5]]},"references-count":7,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2011,5]]}},"alternative-id":["10.1142\/S0218127411029240"],"URL":"https:\/\/doi.org\/10.1142\/s0218127411029240","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,5]]}}}