{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T20:44:00Z","timestamp":1649191440734},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2004,8]]},"abstract":"<jats:p>How fluctuations can be eliminated or attenuated is a matter of general interest in the study of steadily-forced dissipative nonlinear dynamical systems. Here, we extend previous work on \"nonlinear quenching\" [Hide, 1997] by investigating the phenomenon in systems governed by the novel autonomous set of nonlinear ordinary differential equations (ODE's) [Formula: see text], \u1e8f=-xzq+bx-y and \u017c=xyq-cz (where (x, y, z) are time(t)-dependent dimensionless variables and [Formula: see text], etc.) in representative cases when q, the \"quenching function\", satisfies q=1-e+ey with 0\u2264e\u22641. Control parameter space based on a,b and c can be divided into two \"regions\", an S-region where the persistent solutions that remain after initial transients have died away are steady, and an F-region where persistent solutions fluctuate indefinitely. The \"Hopf boundary\" between the two regions is located where b=b<jats:sub>H<\/jats:sub>(a, c; e) (say), with the much studied point (a, b, c)=(10, 28, 8\/3), where the persistent \"Lorenzian\" chaos that arises in the case when e=0 was first found lying close to b=b<jats:sub>H<\/jats:sub>(a, c; 0). As e increases from zero the S-region expands in total \"volume\" at the expense of F-region, which disappears altogether when e=1 leaving persistent solutions that are steady throughout the entire parameter space.<\/jats:p>","DOI":"10.1142\/s0218127404010904","type":"journal-article","created":{"date-parts":[[2004,9,17]],"date-time":"2004-09-17T10:44:54Z","timestamp":1095417894000},"page":"2875-2884","source":"Crossref","is-referenced-by-count":4,"title":["QUENCHING LORENZIAN CHAOS"],"prefix":"10.1142","volume":"14","author":[{"given":"RAYMOND","family":"HIDE","sequence":"first","affiliation":[{"name":"Department of Mathematics, Imperial College London, London SW7 2AZ, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"PATRICK E.","family":"McSHARRY","sequence":"additional","affiliation":[{"name":"Mathematical Institute, Oxford University, Oxford OX1 3LB, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"CHRISTOPHER C.","family":"FINLAY","sequence":"additional","affiliation":[{"name":"Department of Physics, Oxford University, Oxford OX1 3PU, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GUY D.","family":"PESKETT","sequence":"additional","affiliation":[{"name":"Department of Physics, Oxford University, Oxford OX1 3PU, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01208929"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.5194\/npg-4-201-1997"},{"key":"rf3","doi-asserted-by":"crossref","first-page":"943","DOI":"10.1098\/rsta.2000.0568","volume":"358","author":"Hide R.","journal-title":"Phil. Trans. Roy. Soc. London"},{"key":"rf4","series-title":"Nonlinear Time Series Analysis","author":"Kantz H.","year":"1997"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.4324\/9780203214589"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/61\/8\/001"},{"key":"rf8","doi-asserted-by":"crossref","first-page":"2701","DOI":"10.1142\/S0218127400001791","volume":"10","author":"Moroz I. M.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402005728"},{"key":"rf10","volume-title":"Chaos in Dynamical Systems","author":"Ott E.","year":"1983"},{"key":"rf11","volume-title":"Coping with Chaos","author":"Ott E.","year":"1994"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5767-7"},{"key":"rf13","volume-title":"Nonlinear Dynamics and Chaos","author":"Thompson J. M. 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Lett"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127404010904","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,3]],"date-time":"2020-04-03T04:57:16Z","timestamp":1585889836000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127404010904"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,8]]},"references-count":14,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2004,8]]}},"alternative-id":["10.1142\/S0218127404010904"],"URL":"https:\/\/doi.org\/10.1142\/s0218127404010904","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,8]]}}}