{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T13:50:35Z","timestamp":1764424235081,"version":"3.46.0"},"reference-count":15,"publisher":"IOP Publishing","issue":"4","license":[{"start":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T00:00:00Z","timestamp":1618876800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T00:00:00Z","timestamp":1618876800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Eur. J. Phys."],"published-print":{"date-parts":[[2021,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We present and discuss a non-expensive mechanical experiment which is very suitable for a classroom demonstration of the fold catastrophe behaviour. The apparatus consists of a bar attached to a pulley, to which a hanging body is connected by means of a thread wrapped around its rim. The system may perform stable oscillations or, else, the body may continuously fall down, while the pulley executes a sequence of 360\u00b0 rotations. This behaviour is analysed in connection with the shape of the potential, which is a good example of a fold catastrophe potential. For the system to perform stable oscillations, that shape reminds a clothes washboard, with local maxima and minima, a potential well known in superconducting quantum computing. We provide some hints for the instructor to explore the device in lab classes.<\/jats:p>","DOI":"10.1088\/1361-6404\/abf059","type":"journal-article","created":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T18:17:43Z","timestamp":1616177863000},"page":"045001","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Mechanical apparatus for the fold catastrophe demonstration"],"prefix":"10.1088","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6636-9957","authenticated-orcid":false,"given":"M","family":"Fiolhais","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2113-3983","authenticated-orcid":false,"given":"B","family":"Golli","sequence":"additional","affiliation":[]},{"given":"R","family":"Nogueira","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2021,4,20]]},"reference":[{"year":"2019","author":"Bernhardt","key":"ejpabf059bib1","type":"book"},{"key":"ejpabf059bib2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.111.080502","type":"journal-article","article-title":"Coherent Josephson qubit suitable for scalable quantum integrated circuits","volume":"111","author":"Barends","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ejpabf059bib3","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.79.041114","type":"journal-article","article-title":"Current control in a tilted washboard potential via time-delayed feedback","volume":"79","author":"Hennig","year":"2009","journal-title":"Phys. Rev. E"},{"key":"ejpabf059bib4","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1038\/scientificamerican0476-65","type":"journal-article","article-title":"Catastrophe theory","volume":"234","author":"Zeeman","year":"1976","journal-title":"Sci. Am."},{"year":"1981","author":"Gilmore","key":"ejpabf059bib5","type":"book"},{"year":"1980","author":"Saunders","key":"ejpabf059bib6","type":"book"},{"year":"1978","author":"Poston","key":"ejpabf059bib7","type":"book"},{"key":"ejpabf059bib8","doi-asserted-by":"publisher","first-page":"710","DOI":"10.1119\/1.1477433","type":"journal-article","article-title":"The Cartesian diver and the fold catastrophe","volume":"70","author":"G\u00fc\u00e9mez","year":"2002","journal-title":"Am. J. Phys."},{"key":"ejpabf059bib9","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1088\/0143-0807\/24\/2\/352","type":"journal-article","article-title":"Cylinder on an incline as a fold catastrophe system","volume":"24","author":"Brito","year":"2003","journal-title":"Eur. J. Phys."},{"key":"ejpabf059bib10","doi-asserted-by":"publisher","first-page":"1059","DOI":"10.1119\/10.0001772","type":"journal-article","article-title":"Tidal locking and the gravitational fold catastrophe","volume":"88","author":"Ferroglia","year":"2020","journal-title":"Am. J. Phys."},{"key":"ejpabf059bib11","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1119\/1.1533052","type":"journal-article","article-title":"Josephson junctions in a magnetic field: insights from coupled pendula","volume":"71","author":"Altshuler","year":"2003","journal-title":"Am. J. Phys."},{"key":"ejpabf059bib12","doi-asserted-by":"publisher","DOI":"10.1088\/0143-0807\/36\/5\/055042","type":"journal-article","article-title":"Mechanical analog of an over-damped Josephson junction","volume":"36","author":"Luca","year":"2015","journal-title":"Eur. J. Phys."},{"edition":"4th edn","year":"2008","author":"Giancoli","key":"ejpabf059bib13","type":"book"},{"year":"2021","author":"","key":"ejpabf059bib14","type":"web-resource"},{"year":"2016","author":"Franco","key":"ejpabf059bib15","type":"web-resource"}],"container-title":["European Journal of Physics"],"original-title":[],"link":[{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059","content-type":"text\/html","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T13:48:25Z","timestamp":1764424105000},"score":1,"resource":{"primary":{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/abf059"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,20]]},"references-count":15,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2021,4,20]]},"published-print":{"date-parts":[[2021,7,1]]}},"URL":"https:\/\/doi.org\/10.1088\/1361-6404\/abf059","relation":{},"ISSN":["0143-0807","1361-6404"],"issn-type":[{"type":"print","value":"0143-0807"},{"type":"electronic","value":"1361-6404"}],"subject":[],"published":{"date-parts":[[2021,4,20]]},"assertion":[{"value":"Mechanical apparatus for the fold catastrophe demonstration","name":"article_title","label":"Article Title"},{"value":"European Journal of Physics","name":"journal_title","label":"Journal Title"},{"value":"paper","name":"article_type","label":"Article Type"},{"value":"\u00a9 2021 European Physical Society. All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2020-11-09","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-03-19","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-04-20","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}