{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:14:46Z","timestamp":1760782486650},"reference-count":14,"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":[[2003,1]]},"abstract":"<jats:p> Hide [1997] has introduced a number of different nonlinear models to describe the behavior of n-coupled self-exciting Faraday disk homopolar dynamos. The hierarchy of dynamos based upon the Hide et al. [1996] study has already received much attention in the literature (see [Moroz, 2001] for a review). In this paper we focus upon the remaining dynamo, namely Case 3 of [Hide, 1997] for the particular limit in which the Malkus\u2013Robbins dynamo [Malkus, 1972; Robbins, 1997] obtains, but now modified by the presence of a linear series motor. We compare and contrast the linear and the nonlinear behaviors of the two types of dynamo. <\/jats:p>","DOI":"10.1142\/s0218127403006431","type":"journal-article","created":{"date-parts":[[2003,2,21]],"date-time":"2003-02-21T09:51:28Z","timestamp":1045821088000},"page":"147-161","source":"Crossref","is-referenced-by-count":11,"title":["THE MALKUS\u2013ROBBINS DYNAMO WITH A LINEAR SERIES MOTOR"],"prefix":"10.1142","volume":"13","author":[{"given":"IRENE M.","family":"MOROZ","sequence":"first","affiliation":[{"name":"Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400001146"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1996.0070"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/S0031-9201(97)00038-1"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.5194\/npg-4-201-1997"},{"key":"p_5","first-page":"387","volume":"134","author":"Hide R.","year":"1999","journal-title":"Physica"},{"key":"p_6","first-page":"617","volume":"53","author":"Malkus W. V. R.","year":"1972","journal-title":"E.O.S. Trans. Amer. Geophys. Un."},{"key":"p_7","first-page":"128","volume":"117","author":"Moroz I. M.","year":"1998","journal-title":"Physica"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127498001753"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400001791"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401002948"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401004017"},{"key":"p_12","author":"Moroz I. M.","year":"2001","journal-title":"Lumley, J. L."},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100053950"},{"key":"p_14","first-page":"117","volume":"117","author":"Skeldon A. C.","year":"1998","journal-title":"Physica"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403006431","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:11:32Z","timestamp":1565122292000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403006431"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":14,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2003,1]]}},"alternative-id":["10.1142\/S0218127403006431"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403006431","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}