{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T21:51:54Z","timestamp":1767909114820,"version":"3.49.0"},"reference-count":5,"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":[[2017,7]]},"abstract":"<jats:p> The famous Lorenz system is studied and analyzed for a particular set of parameters originally proposed by Lorenz. With those parameters, the system has a single globally attracting strange attractor, meaning that almost all initial conditions in its 3D state space approach the attractor as time advances. However, with a slight change in one of the parameters, the chaotic attractor coexists with a symmetric pair of stable equilibrium points, and the resulting tri-stable system has three intertwined basins of attraction. The advent of 3D printers now makes it possible to visualize the topology of such basins of attraction as the results presented here illustrate. <\/jats:p>","DOI":"10.1142\/s0218127417501280","type":"journal-article","created":{"date-parts":[[2017,8,10]],"date-time":"2017-08-10T03:54:31Z","timestamp":1502337271000},"page":"1750128","source":"Crossref","is-referenced-by-count":8,"title":["3D Printing \u2014 The Basins of Tristability in the Lorenz System"],"prefix":"10.1142","volume":"27","author":[{"given":"Anda","family":"Xiong","sequence":"first","affiliation":[{"name":"Physics Department, University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706, USA"}]},{"given":"Julien C.","family":"Sprott","sequence":"additional","affiliation":[{"name":"Physics Department, University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706, USA"}]},{"given":"Jingxuan","family":"Lyu","sequence":"additional","affiliation":[{"name":"Mechanical Engineering Department, University of Wisconsin-Madison, 1415 Engineering Drive, Madison, Wisconsin 53706, USA"}]},{"given":"Xilu","family":"Wang","sequence":"additional","affiliation":[{"name":"Mechanical Engineering Department, University of Wisconsin-Madison, 1415 Engineering Drive, Madison, Wisconsin 53706, USA"}]}],"member":"219","published-online":{"date-parts":[[2017,8,9]]},"reference":[{"key":"S0218127417501280BIB001","unstructured":"Grimm, T.  [2004]  User\u2019s Guide to Rapid Prototyping  (Society of Manufacturing Engineers), p.  55."},{"key":"S0218127417501280BIB002","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"S0218127417501280BIB003","doi-asserted-by":"publisher","DOI":"10.1145\/37402.37422"},{"key":"S0218127417501280BIB004","doi-asserted-by":"publisher","DOI":"10.1063\/1.4927643"},{"key":"S0218127417501280BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/BF01011469"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127417501280","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:57:00Z","timestamp":1565153820000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127417501280"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7]]},"references-count":5,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2017,8,9]]},"published-print":{"date-parts":[[2017,7]]}},"alternative-id":["10.1142\/S0218127417501280"],"URL":"https:\/\/doi.org\/10.1142\/s0218127417501280","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,7]]}}}