{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T09:19:54Z","timestamp":1778836794392,"version":"3.51.4"},"reference-count":10,"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":[[2013,7]]},"abstract":"<jats:p> The question of coexisting attractors for the H\u00e9non map is studied numerically by performing an exhaustive search in the parameter space. As a result, several parameter values for which more than two attractors coexist are found. Using tools from interval analysis, we show rigorously that the attractors exist. In the case of periodic orbits, we verify that they are stable, and thus proper sinks. Regions of existence in parameter space of the found sinks are located using a continuation method; the basins of attraction are found numerically. <\/jats:p>","DOI":"10.1142\/s0218127413300255","type":"journal-article","created":{"date-parts":[[2013,8,15]],"date-time":"2013-08-15T07:53:41Z","timestamp":1376553221000},"page":"1330025","source":"Crossref","is-referenced-by-count":14,"title":["NUMERICAL STUDY OF COEXISTING ATTRACTORS FOR THE H\u00c9NON MAP"],"prefix":"10.1142","volume":"23","author":[{"given":"ZBIGNIEW","family":"GALIAS","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"WARWICK","family":"TUCKER","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Uppsala University, Box 480, 751 06 Uppsala, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,8,14]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1137\/1022003"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.2307\/2944326"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401003516"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406016513"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741102857X"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/11\/5\/004"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01608556"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684771"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402005285"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127491000440"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127413300255","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T12:26:19Z","timestamp":1565180779000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127413300255"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,7]]},"references-count":10,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2013,8,14]]},"published-print":{"date-parts":[[2013,7]]}},"alternative-id":["10.1142\/S0218127413300255"],"URL":"https:\/\/doi.org\/10.1142\/s0218127413300255","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7]]}}}