{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T07:57:36Z","timestamp":1767167856779,"version":"build-2238731810"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2000,4]]},"abstract":"<jats:p>In this paper we introduce the method for investigation of coupled chaotic systems using topological methods. We show that if the coupling is small then there exists independent symbolic dynamics for every coupled subsystem and in consequence the systems are not synchronized. As an example we consider coupled H\u00e9non maps. Using computer interval arithmetic we find parameter mismatch and perturbation range for which the symbolic dynamics in the H\u00e9non system is sustained. For coupled H\u00e9non maps we compute the value of coupling strength for which the symbolic dynamics in every subsystem survives.<\/jats:p>","DOI":"10.1142\/s0218127400000578","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T07:50:07Z","timestamp":1050997807000},"page":"811-818","source":"Crossref","is-referenced-by-count":0,"title":["ROBUSTNESS OF SYMBOLIC DYNAMICS AND SYNCHRONIZATION PROPERTIES"],"prefix":"10.1142","volume":"10","author":[{"given":"ZBIGNIEW","family":"GALIAS","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering,  University of Mining and Metallurgy, al. Mickiewicza 30, 30\u2013059  Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497000224"},{"key":"p_3","author":"Galias Z.","year":"1998","journal-title":"J. Universal Comput. Sci."},{"key":"p_4","first-page":"165","volume":"115","author":"Galias Z.","year":"1998","journal-title":"Physica"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.73.3528"},{"key":"p_6","author":"Heagy J.","year":"1995","journal-title":"Phys. Rev. E52(2), R1253-R1256."},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01608556"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.82.1144"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1109\/81.246145"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"p_11","first-page":"25","author":"Pecora L.","year":"1995","journal-title":"Chaotic Circuits for Communication, Proc. SPIE 2612, Philadelphia"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/10\/1\/016"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127400000578","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:57:28Z","timestamp":1565139448000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127400000578"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,4]]},"references-count":11,"aliases":["10.1016\/s0218-1274(00)00057-8"],"journal-issue":{"issue":"04","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2000,4]]}},"alternative-id":["10.1142\/S0218127400000578"],"URL":"https:\/\/doi.org\/10.1142\/s0218127400000578","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,4]]}}}