{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T21:14:52Z","timestamp":1773868492027,"version":"3.50.1"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p> This Letter analyzes the hyperchaotic dynamics of the fractional-order R\u00f6ssler system from a time-domain point of view. The approach exploits the Adomian decomposition method (ADM), which generates series solution of the fractional differential equations. A remarkable finding of the Letter is that hyperchaos occurs in the fractional R\u00f6ssler system with order as low as 3.12. This represents the lowest order reported in literature for any hyperchaotic system studied so far. <\/jats:p>","DOI":"10.1142\/s0218127409022890","type":"journal-article","created":{"date-parts":[[2009,3,20]],"date-time":"2009-03-20T06:36:08Z","timestamp":1237530968000},"page":"339-347","source":"Crossref","is-referenced-by-count":55,"title":["HYPERCHAOS IN THE FRACTIONAL-ORDER R\u00d6SSLER SYSTEM WITH LOWEST-ORDER"],"prefix":"10.1142","volume":"19","author":[{"given":"DONATO","family":"CAFAGNA","sequence":"first","affiliation":[{"name":"Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GIUSEPPE","family":"GRASSI","sequence":"additional","affiliation":[{"name":"Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8289-6"},{"key":"rf2","volume-title":"Nonlinear Noninteger Order Circuits and Systems \u2014 An Introduction","author":"Arena P.","year":"2003"},{"key":"rf4","first-page":"2752","volume":"89","author":"Cafagna D.","journal-title":"IEICE Trans. Fund."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/MIE.2007.901479"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407017276"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408021415"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408020550"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1967.tb02303.x"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/9.159595"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.05.010"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2007.07.049"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016592219341"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.05.101"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7091-2664-6_5"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1109\/81.404062"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/3779"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2004.04.113"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.02.013"},{"key":"rf20","first-page":"1586","volume":"16","author":"Lu J. J.","journal-title":"Chinese Phys."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.03.014"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.11.025"},{"key":"rf23","first-page":"1083","volume":"182","author":"Momani S.","journal-title":"Appl. Math. Comput."},{"key":"rf24","volume-title":"The Fractional Calculus","author":"Oldham K. B.","year":"1974"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016556604320"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(79)90150-6"},{"key":"rf27","first-page":"2612","volume":"16","author":"Shao S. Q.","journal-title":"Chinese Phys."},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2007.08.039"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2007.07.053"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(85)90011-9"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2007.10.052"},{"key":"rf32","first-page":"1","volume":"16","author":"Zhang H. B.","journal-title":"Int. J. Mod. Phys. C"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127409022890","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:03:21Z","timestamp":1565121801000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127409022890"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":31,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1142\/S0218127409022890"],"URL":"https:\/\/doi.org\/10.1142\/s0218127409022890","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}