{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,18]],"date-time":"2026-04-18T03:54:56Z","timestamp":1776484496320,"version":"3.51.2"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2000,1]]},"abstract":"<jats:p>We present in this paper a novel method for fitting trapping regions for a Spiral Chua's attractor. For the values: \u03c3<jats:sub>0<\/jats:sub>= -0.465716\u2026, \u03b3<jats:sub>0<\/jats:sub>= 0.0932544\u2026, k = 0.3279262\u2026, \u03c3<jats:sub>1<\/jats:sub>= 0.4152731\u2026, \u03b3<jats:sub>1<\/jats:sub>= -0.3446764\u2026 of the parameters, the iterates of the attractor belong to two trapping regions P<jats:sub>1<\/jats:sub>and P<jats:sub>3<\/jats:sub>we construct with this method based uniquely on the isochronic lines. Both P<jats:sub>1<\/jats:sub>and P<jats:sub>3<\/jats:sub>are bounded accurately with more than 450 segments of isochronic lines. We show graphically that the inclusions \u03c0 (P<jats:sub>1<\/jats:sub>) \u2282 P<jats:sub>3<\/jats:sub>, \u03c0 (P<jats:sub>3<\/jats:sub>) \u2282 P<jats:sub>1<\/jats:sub>hold. The traps for the half-Poincar\u00e9 map \u03c0<jats:sub>0<\/jats:sub>have to be constructed.<\/jats:p>","DOI":"10.1142\/s0218127400000128","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:03:21Z","timestamp":1027767801000},"page":"205-225","source":"Crossref","is-referenced-by-count":14,"title":["FITTING TRAPPING REGIONS FOR CHUA'S ATTRACTOR \u2014 A NOVEL METHOD BASED ON ISOCHRONIC LINES"],"prefix":"10.1142","volume":"10","author":[{"given":"SORAYA","family":"BOUGHABA","sequence":"first","affiliation":[{"name":"Laboratory of Mathematics Jean Alexandre Dieudonn\u00e9, CNRS \u2013 UMR N\u00b0 6621, Nice \u2013 Sophia Antipolis University, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"RENE","family":"LOZI","sequence":"additional","affiliation":[{"name":"Laboratory of Mathematics Jean Alexandre Dieudonn\u00e9, CNRS \u2013 UMR N\u00b0 6621, Nice \u2013 Sophia Antipolis University, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1986.1085869"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1109\/82.246164"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1515\/FREQ.1992.46.3-4.66"},{"issue":"3","key":"p_5","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF02999526","volume":"43","author":"Lozi R.","year":"1988","journal-title":"Ann. Telecommun."},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127491000099"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127493000258"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1987.13847"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127400000128","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,6]],"date-time":"2024-01-06T01:49:57Z","timestamp":1704505797000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127400000128"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,1]]},"references-count":7,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2000,1]]}},"alternative-id":["10.1142\/S0218127400000128"],"URL":"https:\/\/doi.org\/10.1142\/s0218127400000128","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,1]]}}}