{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T16:39:02Z","timestamp":1773765542981,"version":"3.50.1"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,9]]},"abstract":"<jats:p> We prove analytically that 2-element memristive circuits consisting of a passive linear inductor in parallel with a passive memristor, or an active memristive device, can be described explicitly by a Hamiltonian equation, whose solutions can be periodic or damped, and can be represented analytically by the constants of the motion along the circuit Hamiltonian. Generalizations to 3-element and 2N-element memristive Hamiltonian circuits are also presented where complex bifurcation phenomena including chaos, abound. <\/jats:p>","DOI":"10.1142\/s021812741103012x","type":"journal-article","created":{"date-parts":[[2011,7,12]],"date-time":"2011-07-12T05:19:23Z","timestamp":1310447963000},"page":"2395-2425","source":"Crossref","is-referenced-by-count":51,"title":["MEMRISTOR HAMILTONIAN CIRCUITS"],"prefix":"10.1142","volume":"21","author":[{"given":"MAKOTO","family":"ITOH","sequence":"first","affiliation":[{"name":"1-19-20-203, Arae, Jonan-ku, Fukuoka 811-0214, Japan"}]},{"given":"LEON O.","family":"CHUA","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"rf1","volume-title":"Theory of Oscillators","author":"Andronov A. A.","year":"1987"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/31.17588"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1971.1083337"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1974.1083849"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1976.10092"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s00339-011-6264-9"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1086\/109234"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.4249\/scholarpedia.1943"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127410027076"},{"key":"rf10","volume-title":"Qualitative Theory of Differential Equations","author":"Nemytskii V. V.","year":"1989"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.33.4253"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812741103012X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:37:10Z","timestamp":1565116630000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812741103012X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9]]},"references-count":11,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[2011,9]]}},"alternative-id":["10.1142\/S021812741103012X"],"URL":"https:\/\/doi.org\/10.1142\/s021812741103012x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9]]}}}