{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T06:12:21Z","timestamp":1774591941675,"version":"3.50.1"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,9]]},"abstract":"<jats:p> An efficient method to find all low-period windows for the quadratic map is proposed. The method is used to obtain very accurate rigorous bounds of positions of all periodic windows with periods p \u2264 32. The contribution of period-doubling windows on the total width of periodic windows is discussed. Properties of periodic windows are studied numerically. <\/jats:p>","DOI":"10.1142\/s0218127415501394","type":"journal-article","created":{"date-parts":[[2015,9,30]],"date-time":"2015-09-30T02:25:44Z","timestamp":1443579944000},"page":"1550139","source":"Crossref","is-referenced-by-count":6,"title":["Rigorous Numerical Study of Low-Period Windows for the Quadratic Map"],"prefix":"10.1142","volume":"25","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"}]}],"member":"219","published-online":{"date-parts":[[2015,9,29]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/9789812812865_0004"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/21\/9\/002"},{"key":"rf4","first-page":"305","volume":"29","author":"Derrida B.","year":"1978","journal-title":"Ann. Inst. Henri Poincar\u00e9"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-8641(01)00227-9"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1063\/1.4865110"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.2307\/3597183"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1038\/261459a0"},{"key":"rf11","volume-title":"Interval Methods for Systems of Equations","author":"Neumaier A.","year":"1990"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/b97624"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-21738-3"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2009.06.020"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1088\/0253-6102\/3\/3\/283"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127415501394","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:44:43Z","timestamp":1565131483000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127415501394"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9]]},"references-count":12,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2015,9,29]]},"published-print":{"date-parts":[[2015,9]]}},"alternative-id":["10.1142\/S0218127415501394"],"URL":"https:\/\/doi.org\/10.1142\/s0218127415501394","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9]]}}}