{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T23:32:31Z","timestamp":1723246351630},"reference-count":60,"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":[[2011,8]]},"abstract":"<jats:p>The dynamic behavior of bidirectionally coupled Duffing-type circuits is numerically and experimentally investigated. Two related phenomena are explored such as anti-phase synchronization and inverse \u03c0-lag synchronization. Anti-phase synchronization is observed for the first time in coupled Duffing-type systems, while the inverse \u03c0-lag synchronization phenomenon in mutually coupled identical oscillators is a new type of synchronization. Inverse \u03c0-lag synchronization can be characterized by the vanishing of the sum of two relevant periodic signals. The first one is the signal of the first circuit x<jats:sub>1<\/jats:sub>and the second is the signal of the second circuit x<jats:sub>2<\/jats:sub>with a time lag \u03c4<jats:sub>min<\/jats:sub>. This time lag is equal to T\/2, where T is the period of x<jats:sub>1<\/jats:sub>and x<jats:sub>2<\/jats:sub>. The measurements and numerical computations suggest that these two synchronization phenomena are correlated with the symmetry under the transformation, x \u2192 -x, y \u2192 -y and t \u2192 t + T\/2, which the Duffing equation exhibits.<\/jats:p>","DOI":"10.1142\/s0218127411029847","type":"journal-article","created":{"date-parts":[[2011,7,8]],"date-time":"2011-07-08T14:14:41Z","timestamp":1310134481000},"page":"2357-2368","source":"Crossref","is-referenced-by-count":7,"title":["ANTI-PHASE AND INVERSE \u03c0-LAG SYNCHRONIZATION IN COUPLED DUFFING-TYPE CIRCUITS"],"prefix":"10.1142","volume":"21","author":[{"given":"CHRISTOS K.","family":"VOLOS","sequence":"first","affiliation":[{"name":"Department of Mathematics and Engineering Studies, Hellenic Army Academy, Athens, GR16673, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"IOANNIS M.","family":"KYPRIANIDIS","sequence":"additional","affiliation":[{"name":"Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GR54124, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"IOANNIS N.","family":"STOUBOULOS","sequence":"additional","affiliation":[{"name":"Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GR54124, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127492000446"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127492000756"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2006.885979"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.58.5620"},{"key":"rf5","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1142\/S021812740000061X","volume":"10","author":"Astakhov V.","journal-title":"Int. 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