{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T20:02:17Z","timestamp":1649188937226},"reference-count":6,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2001,7]]},"abstract":"<jats:p> Bifurcations in the dynamics of a chaotic circuit based on hysteresis are evaluated. Owing to the piecewise-linear nature of the nonlinear elements of the circuit, such bifurcations are discussed by resorting to a suitable one-dimensional map. As the ordinary differential equations governing the circuit are piecewise linear, the analytical expressions of their solutions can be derived in each linear region. Consequently, the proposed results have been obtained not by resorting to numerical integration, but by properly connecting pieces of planar flows. The bifurcation analysis is carried out by varying one of the three dimensionless parameters that the system of normalized circuit equations depends on. Local and global bifurcations, regular and chaotic asymptotic behaviors are pointed out by analyzing both the one-dimensional map and the three-dimensional flow induced by the circuit dynamics. <\/jats:p>","DOI":"10.1142\/s0218127401003085","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:05:45Z","timestamp":1027767945000},"page":"1911-1927","source":"Crossref","is-referenced-by-count":6,"title":["BIFURCATION ANALYSIS OF A PWL CHAOTIC CIRCUIT BASED ON HYSTERESIS THROUGH A ONE-DIMENSIONAL MAP"],"prefix":"10.1142","volume":"11","author":[{"given":"FEDERICO","family":"BIZZARRI","sequence":"first","affiliation":[{"name":"Department of Biophysical and Electronic Engineering, University of Genoa, Via Opera Pia 11a, I-16145 Genova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MARCO","family":"STORACE","sequence":"additional","affiliation":[{"name":"Department of Biophysical and Electronic Engineering, University of Genoa, Via Opera Pia 11a, I-16145 Genova, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LAURA","family":"GARDINI","sequence":"additional","affiliation":[{"name":"Department of Economic Sciences, University of Urbino, Via A. Saffi 2, I-61029 Urbino, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"RENZO","family":"LUPINI","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Ancona, Via Brecce Bianche, I-60131 Ancona, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490190505"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1109\/81.545846"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490220606"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-007X(199603\/04)24:2<183::AID-CTA893>3.0.CO;2-F"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1049\/el:19980115"},{"key":"p_9","first-page":"527","volume":"27","author":"Storace M.","year":"1999","journal-title":"Hasler, M. & Vandewalle, J."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127401003085","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:11:21Z","timestamp":1565136681000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127401003085"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,7]]},"references-count":6,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2001,7]]}},"alternative-id":["10.1142\/S0218127401003085"],"URL":"https:\/\/doi.org\/10.1142\/s0218127401003085","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,7]]}}}