{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T02:55:36Z","timestamp":1776999336143,"version":"3.51.4"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","funder":[{"name":"Grants-in-Aid for Scientific Research","award":["50738383"],"award-info":[{"award-number":["50738383"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,6,30]]},"abstract":"<jats:p>Double covering (DC) bifurcation of a 2-torus quasi-periodic flow in a phase-locked loop circuit was experimentally investigated using an electronic circuit and via SPICE simulation; in the circuit, the input radio-frequency signal was frequency modulated by the sum of two asynchronous sinusoidal baseband signals. We observed both DC and period-doubling bifurcations of a discrete map on two Poincar\u00e9 sections, which were realized by changing the sample timing from one baseband sinusoidal signal to the other. The results confirm the DC bifurcation of the original flow.<\/jats:p>","DOI":"10.1142\/s0218127416300172","type":"journal-article","created":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T10:00:50Z","timestamp":1468576850000},"page":"1630017","source":"Crossref","is-referenced-by-count":0,"title":["Electronic Circuit Experiments and SPICE Simulation of Double Covering Bifurcation of 2-Torus Quasi-Periodic Flow in Phase-Locked Loop Circuit"],"prefix":"10.1142","volume":"26","author":[{"given":"Kyohei","family":"Kamiyama","sequence":"first","affiliation":[{"name":"Department of Electronics and Bioinformatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tetsuro","family":"Endo","sequence":"additional","affiliation":[{"name":"Department of Electronics and Bioinformatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Isao","family":"Imai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Motomasa","family":"Komuro","sequence":"additional","affiliation":[{"name":"Center for Fundamental Education, Teikyo University of Science, 2525 Yatsusawa, Uenohara-shi, Yamanashi 409-0193, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,7,15]]},"reference":[{"key":"S0218127416300172BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749500017X"},{"key":"S0218127416300172BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412502896"},{"key":"S0218127416300172BIB003","volume-title":"Phase-Locked Loops: Design, Simulation, and Applications","author":"Best R. E.","year":"1993","edition":"2"},{"key":"S0218127416300172BIB004","doi-asserted-by":"crossref","first-page":"769","DOI":"10.36045\/bbms\/1228486406","volume":"15","author":"Broer H.","year":"2008","journal-title":"Bull. Belg. Math. Soc. Simon Stevin"},{"key":"S0218127416300172BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2013.10.049"},{"key":"S0218127416300172BIB006","first-page":"828","volume":"73","author":"Endo T.","year":"1990","journal-title":"IEICE Trans. E"},{"key":"S0218127416300172BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127414300341"},{"key":"S0218127416300172BIB008","first-page":"510","volume":"98","author":"Kamiyama K.","year":"2015","journal-title":"IEICE Trans. A"},{"key":"S0218127416300172BIB009","first-page":"1788","volume":"77","author":"Papy O.","year":"1994","journal-title":"IEICE Trans. Fund."},{"key":"S0218127416300172BIB010","volume-title":"Principles of Coherent Communication","author":"Viterbi A.","year":"1966"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416300172","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,24]],"date-time":"2020-09-24T00:59:15Z","timestamp":1600909155000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416300172"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,30]]},"references-count":10,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2016,7,15]]},"published-print":{"date-parts":[[2016,6,30]]}},"alternative-id":["10.1142\/S0218127416300172"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416300172","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,30]]}}}