{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T03:11:26Z","timestamp":1768446686285,"version":"3.49.0"},"reference-count":15,"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":[[2001,7]]},"abstract":"<jats:p> A method is described for the synchronization of nonlinear discrete-time dynamics. The methodology consists of constructing observer\u2013receiver dynamics that exploit at each time instant the drive signal and buffered past values of the drive signal. In this way, the method can be viewed as a dynamic reconstruction mechanism, in contrast to existing static inversion methods from the theory of dynamical systems. The method is illustrated on a few simulation examples consisting of coupled chaotic logistic equations. Also, a discrete-time message reconstruction scheme is simulated using the extended observer mechanism. <\/jats:p>","DOI":"10.1142\/s0218127401003218","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:05:45Z","timestamp":1027767945000},"page":"1997-2006","source":"Crossref","is-referenced-by-count":42,"title":["NONLINEAR DISCRETE-TIME SYNCHRONIZATION VIA EXTENDED OBSERVERS"],"prefix":"10.1142","volume":"11","author":[{"given":"H. J. C.","family":"HUIJBERTS","sequence":"first","affiliation":[{"name":"Department of Engineering, Queen Mary, University of London, Mile End Road, London E1 4NS, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.","family":"LILGE","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Regelungstechnik, Universit\u00e4t Hannover, Appelstrasse 11, D-30167 Hannover, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"NIJMEIJER","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven, The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1137\/0319037"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(81)80042-4"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.46.6735"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(97)00325-3"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.65"},{"key":"p_8","first-page":"4691","volume":"59","author":"Huijberts H. J. C.","year":"1999","journal-title":"Phys. Rev."},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1016\/S0947-3580(98)70124-4"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)00054-Y"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.79.63"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1109\/9.376051"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1080\/00207178208932936"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1109\/81.633877"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1007\/BF01053745"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1007\/s003329900072"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127401003218","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:11:44Z","timestamp":1565136704000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127401003218"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,7]]},"references-count":15,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2001,7]]}},"alternative-id":["10.1142\/S0218127401003218"],"URL":"https:\/\/doi.org\/10.1142\/s0218127401003218","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,7]]}}}