{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:08:55Z","timestamp":1761487735926},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2006,8]]},"abstract":"<jats:p> Using Lyapunov theory, the Lorenz chaotic system was partitioned in two parts, where one of them is globally asymptotically stable. This partition facilitated the state\u2013space expansion of the Lorenz system from three to four-order. This new four-order Lorenz system, one of its states is synchronized with other. This expansion allows us to design a secure communication system where the dynamic of the receiver is just one-order. The proposed secure communication system uses two-lines of transmission. Simulation results are included to demonstrate the performance of this secure communication system based on this new four-order Lorenz system. <\/jats:p>","DOI":"10.1142\/s0218126606003234","type":"journal-article","created":{"date-parts":[[2006,12,1]],"date-time":"2006-12-01T09:42:40Z","timestamp":1164966160000},"page":"607-614","source":"Crossref","is-referenced-by-count":6,"title":["EXPANDED LORENZ SYSTEMS AND CHAOTIC SECURE COMMUNICATION SYSTEMS DESIGN"],"prefix":"10.1142","volume":"15","author":[{"given":"LEONARDO","family":"ACHO","sequence":"first","affiliation":[{"name":"Research Center on Digital Technology (Mexican research center located in Tijuana B.C., M\u00e9xico (CITEDI-IPN).), 2498 Roll Dr. #757, Otay Mesa, San Diego, California 92154, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/81.572333"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/82.246163"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/81.974882"},{"key":"rf4","first-page":"1135","volume":"49","author":"Grassi G. G.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf5","first-page":"1418","volume":"47","author":"Lian K. Y.","journal-title":"IEEE Trans. Circuits Syst.-I"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(01)00160-6"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/82.755422"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2003.11.027"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/JQE.2002.801951"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.crhy.2004.05.004"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1119\/1.19538"}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126606003234","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:41:39Z","timestamp":1565149299000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126606003234"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8]]},"references-count":11,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2006,8]]}},"alternative-id":["10.1142\/S0218126606003234"],"URL":"https:\/\/doi.org\/10.1142\/s0218126606003234","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,8]]}}}