{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:25:52Z","timestamp":1760783152774},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,3]]},"abstract":"<jats:p> In this paper we present and analyze a new piecewise linear map of the plane capable of generating chaotic attractors with one and two scrolls. Due to the shape of the attractor and its hyperchaoticity, we call it \"the discrete hyperchaotic double scroll.\" It has the same nonlinearity as used in the well-known Chua circuit. A rigorous proof of the hyperchaoticity of this attractor is given and numerically justified. <\/jats:p>","DOI":"10.1142\/s0218127409023433","type":"journal-article","created":{"date-parts":[[2009,5,28]],"date-time":"2009-05-28T10:49:43Z","timestamp":1243507783000},"page":"1023-1027","source":"Crossref","is-referenced-by-count":11,"title":["THE DISCRETE HYPERCHAOTIC DOUBLE SCROLL"],"prefix":"10.1142","volume":"19","author":[{"given":"ZERAOULIA","family":"ELHADJ","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of T\u00e9bessa, 12000, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. C.","family":"SPROTT","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Wisconsin, Madison, WI 53706, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497000236"},{"key":"rf3","series-title":"IMA Conference Series","volume-title":"Mathematics in Signal Processing V","author":"Ashwin P.","year":"2002"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.4052"},{"key":"rf5","first-page":"1857","volume":"9","author":"Cao Y.","journal-title":"Chaos Solit. Fract."},{"key":"rf6","first-page":"1073","volume":"33","author":"Chua L. O.","journal-title":"IEEE Trans. Circuits Syst."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(84)90187-8"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/81.298367"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1063\/1.1741751"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497001497"},{"key":"rf11","volume-title":"The Kinematics of Mixing: Stretching, Chaos, and Transport","author":"Ottino J. M.","year":"1989"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1126\/science.257.5071.754"},{"key":"rf14","first-page":"69","volume":"31","author":"Suneel M.","journal-title":"Sadhana \u2014 Acad. Proc. Engin. Sci. \u2014 IAS"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404009119"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127409023433","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:02:27Z","timestamp":1565136147000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127409023433"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,3]]},"references-count":13,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,3]]}},"alternative-id":["10.1142\/S0218127409023433"],"URL":"https:\/\/doi.org\/10.1142\/s0218127409023433","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,3]]}}}