{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,12,14]],"date-time":"2024-12-14T05:27:42Z","timestamp":1734154062183,"version":"3.30.2"},"reference-count":53,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,8]]},"abstract":"<jats:p>In a recent paper [Ossendrijver, 2000] numerical simulations of a 2D mean-field model where shown to produce grand minima, typical of the long-term behavior of solar magnetic activity. The model consisted of a dynamo that features an \u03b1 effect based on the buoyancy instability of magnetic flux tubes, which gives rise to the switching back and forth from grand minima to \"regular\" solar behavior. In this Letter, we report evidence from a time-series analysis of the model for the presence of crisis-induced intermittency due to attractor-widening. We support this finding by showing that the average duration of the minima, &lt;\u03c4&gt;, follows the theoretically predicted scaling [Formula: see text], where C<jats:sub>\u03b4\u03b1<\/jats:sub>is the bifurcation parameter of interest, together with other strong statistical evidence. As far as we are aware, this is the first time concrete and detailed evidence has been produced for the occurrence of this type of crisis-induced intermittency \u2014 due to attractor widening \u2014 for such dynamo models.<\/jats:p>","DOI":"10.1142\/s0218127403007989","type":"journal-article","created":{"date-parts":[[2003,9,25]],"date-time":"2003-09-25T03:19:09Z","timestamp":1064459949000},"page":"2327-2333","source":"Crossref","is-referenced-by-count":5,"title":["Crisis-Induced Intermittency Due to Attractor-Widening in a Buoyancy-Driven Solar Dynamo"],"prefix":"10.1142","volume":"13","author":[{"given":"Mathieu","family":"Ossendrijver","sequence":"first","affiliation":[{"name":"Astronomy Unit, Mathematical Sciences, Queen Mary University of London, Mile End Road, London, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eurico","family":"Covas","sequence":"additional","affiliation":[{"name":"Kiepenheuer-Institut f\u00fcr Sonnenphysik, Sch\u00f6neckstrasse 6, D-79108 Freiburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/9\/3\/006"},{"key":"rf2","first-page":"563","volume":"9","author":"Ashwin P.","journal-title":"Nonlinearity"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1023\/A:1005026001784"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1086\/307590"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1086\/308767"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1997-00547-6"},{"key":"rf7","first-page":"339","volume":"332","author":"Brooke J. M.","journal-title":"A&A"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1023\/A:1010387509792"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.56.6451"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.55.6641"},{"key":"rf11","first-page":"350","volume":"329","author":"Covas E.","journal-title":"A&A"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.60.5435"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1063\/1.1374243"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.aa.19.090181.000555"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.63.923"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.54.2839"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749300009X"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1086\/306877"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.68.2989"},{"key":"rf20","first-page":"231","volume":"52","author":"Gleissberg W.","journal-title":"Solar Phys."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.36.5365"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.48.1507"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1093\/mnras\/278.1.294"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-8711.1998.01572.x"},{"key":"rf25","doi-asserted-by":"crossref","DOI":"10.1515\/9783112729694","volume-title":"Mean-Field Magnetohydrodynamics & Dynamo Theory","author":"Krause F.","year":"1980"},{"key":"rf26","first-page":"977","volume":"343","author":"K\u00fcker M.","journal-title":"A&A"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.46.R711"},{"key":"rf28","first-page":"938","volume":"313","author":"Ossendrijver M. A. J. H.","journal-title":"A&A"},{"key":"rf29","first-page":"364","volume":"359","author":"Ossendrijver M. A. J. H.","journal-title":"A&A"},{"volume-title":"Cosmic Magnetic Fields","year":"1979","author":"Parker E. N.","key":"rf30"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.279"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1007\/BF01197757"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-7958-1"},{"volume-title":"Lectures on Solar & Planetary Dynamos","year":"1995","author":"Roberts P. H.","key":"rf34"},{"key":"rf35","first-page":"654","volume":"245","author":"Schmalz S.","journal-title":"A&A"},{"key":"rf36","first-page":"L1","volume":"311","author":"Schmitt D.","journal-title":"A&A"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1086\/306146"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.72.1258"},{"key":"rf39","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(86)90083-7"},{"key":"rf40","first-page":"293","volume":"288","author":"Sokoloff D.","journal-title":"A&A"},{"key":"rf41","first-page":"146","volume":"73","author":"Spiegel E.","journal-title":"Geophys. Astrophys. Fluid Dyn."},{"key":"rf42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.63.066211"},{"key":"rf43","doi-asserted-by":"publisher","DOI":"10.1038\/276802a0"},{"key":"rf44","first-page":"173","volume":"178","author":"Tavakol R.","journal-title":"Astron. Soc. Pacific Conf. Series"},{"key":"rf45","doi-asserted-by":"publisher","DOI":"10.1093\/mnras\/273.4.1150"},{"key":"rf46","first-page":"1349","volume":"154","author":"Tobias S. M.","journal-title":"Astron. Soc. Pacific Conf. Series"},{"key":"rf47","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-8711.1998.01412.x"},{"key":"rf48","first-page":"185","volume":"178","author":"Tobias S. M.","journal-title":"Astron. Soc. Pacific Conf. Series"},{"key":"rf49","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-8711.1998.01342.x"},{"key":"rf50","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(96)00014-0"},{"key":"rf51","doi-asserted-by":"publisher","DOI":"10.1080\/03091928408219262"},{"key":"rf52","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1990.0042"},{"volume-title":"Magnetic Fields in Astrophysics","year":"1983","author":"Zeldovich B. Ya.","key":"rf53"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403007989","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,13]],"date-time":"2024-12-13T22:10:48Z","timestamp":1734127848000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403007989"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,8]]},"references-count":53,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,8]]}},"alternative-id":["10.1142\/S0218127403007989"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403007989","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2003,8]]}}}