{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T03:42:13Z","timestamp":1778298133291,"version":"3.51.4"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,10]]},"abstract":"<jats:p> This paper is devoted to a theoretical and experimental study of the dynamics of a bouncing ball driven by an electric force. The experimental model consists of a metallic ball immersed in a poorly conducting liquid between two horizontal electrodes. The ball bounces upon the lower electrode as a high voltage is applied between the two plates. The measurement of the time between successive impacts produces a time series, which depends on two control parameters, the amplitude and the frequency of the applied voltage. A theoretical model is proposed, which provides a discrete nonlinear map, and discussed in comparison with the experimental results. It is shown that the system exhibits a period doubling route to chaos and a non-Feigenbaum universal scaling at the onset of chaos. Chaotic motion is investigated using the usual tools: Lyapunov exponents, correlation dimensions and entropies. Fractal structure of the chaotic attractor is also brought to evidence in experimental time series as well as in numerical simulations. <\/jats:p>","DOI":"10.1142\/s0218127403008314","type":"journal-article","created":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T09:06:11Z","timestamp":1070269571000},"page":"2959-2975","source":"Crossref","is-referenced-by-count":2,"title":["NONLINEAR DYNAMICS OF A BOUNCING BALL DRIVEN BY ELECTRIC FORCES"],"prefix":"10.1142","volume":"13","author":[{"given":"A.","family":"KHAYARI","sequence":"first","affiliation":[{"name":"Departamento de Electr\u00f3nica y Electromagnetismo,  Facultad de F\u00edsica, Avenida Reina Mercedes s\/n,  41012 Sevilla, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. T.","family":"P\u00c9REZ","sequence":"additional","affiliation":[{"name":"Departamento de Electr\u00f3nica y Electromagnetismo,  Facultad de F\u00edsica, Avenida Reina Mercedes s\/n,  41012 Sevilla, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127491000117"},{"key":"rf2","volume-title":"Bubbles, Drops and Particles","author":"Clift R.","year":"1978"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.33.1134"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.50.346"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"rf6","volume-title":"Nonlinear Time Series Analysis","author":"Kantz H.","year":"1997"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.45.3403"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/TDEI.2002.1024437"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(97)00162-0"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401002547"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1997-00188-3"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403008314","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:15:30Z","timestamp":1565136930000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403008314"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,10]]},"references-count":11,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,10]]}},"alternative-id":["10.1142\/S0218127403008314"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403008314","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,10]]}}}