{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T08:27:39Z","timestamp":1718699259374},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,7]]},"abstract":"<jats:p> Spatiotemporal chaotic systems have been applied to design pseudo-random-bit generators or ciphers for better cryptographic performance, where spatiotemporal chaos is desirable. This paper presents a chaotification method (or anti-chaos control) for creating spatiotemporal systems, which are originally either nonchaotic or chaotic, strongly chaotic. Sufficient conditions on the system parameters for chaotification are obtained. A mathematically rigorous proof shows that the chaotified system satisfying the parameter conditions is chaotic in the sense of Li\u2013Yorke and Devaney, respectively. Moreover, the chaotification method is applicable to other spatiotemporal systems even with different configurations. Simulation results have illustrated the effectiveness of the proposed chaotification method. Additionally, the statistical properties of the spatiotemporal systems and their chaotified counterparts are analyzed and compared, showing that the chaotification method endows the spatiotemporal systems with good statistical properties. Therefore, the chaotification method can be used for applications of spatiotemporal systems in cryptography. <\/jats:p>","DOI":"10.1142\/s0218127410027027","type":"journal-article","created":{"date-parts":[[2010,7,19]],"date-time":"2010-07-19T06:47:03Z","timestamp":1279522023000},"page":"2193-2202","source":"Crossref","is-referenced-by-count":3,"title":["CHAOTIFICATION OF SPATIOTEMPORAL SYSTEMS"],"prefix":"10.1142","volume":"20","author":[{"given":"PING","family":"LI","sequence":"first","affiliation":[{"name":"Department of Electronic Engineering, Shunde Polytechnic, Kanton, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ZHONG","family":"LI","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, FernUniversit\u00e4t in Hagen, 58084 Hagen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"WOLFGANG A.","family":"HALANG","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, FernUniversit\u00e4t in Hagen, 58084 Hagen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/3407"},{"key":"rf2","unstructured":"G.\u00a0Golub and C.\u00a0Loan, Matrix Computations, 3rd edn. (The Johns Hopkins University Press, 1997)\u00a0p. 320."},{"key":"rf3","volume-title":"Theory and Application of Coupled Map Lattices","author":"Kaneko K.","year":"1993"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.016216"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406016574"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2005.09.060"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.12.021"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.2307\/2318254"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1063\/1.1772731"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.11.039"},{"key":"rf11","volume-title":"Handbook of Matrices","author":"Luekepohl H.","year":"1998"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(78)90115-4"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740601629X"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499000985"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127410027027","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:50:03Z","timestamp":1565124603000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127410027027"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7]]},"references-count":14,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2010,7]]}},"alternative-id":["10.1142\/S0218127410027027"],"URL":"https:\/\/doi.org\/10.1142\/s0218127410027027","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,7]]}}}