{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T09:21:35Z","timestamp":1719998495568},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,5]]},"abstract":"<jats:p> In this paper, we analyze the bifurcation of Type 2 periodic solution in a ring of six-coupled bistable oscillators. We show that pitchfork and heteroclinic bifurcations, which induce chaos, cause a change from periodic (standing wave) solution to quasi-periodic (propagating wave) solution or the inverse when the coupling strength is varied. We also explain the existence of the switching solution, and presume that the birth and death of this switching solution are due to a pitchfork bifurcation of a quasi-periodic solution. <\/jats:p>","DOI":"10.1142\/s0218127412501234","type":"journal-article","created":{"date-parts":[[2012,3,29]],"date-time":"2012-03-29T01:21:56Z","timestamp":1332984116000},"page":"1250123","source":"Crossref","is-referenced-by-count":7,"title":["BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS \u2014 BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION"],"prefix":"10.1142","volume":"22","author":[{"given":"KYOHEI","family":"KAMIYAMA","sequence":"first","affiliation":[{"name":"Department of Electronics and Bioinfomatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa, 214-8571, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MOTOMASA","family":"KOMURO","sequence":"additional","affiliation":[{"name":"Department of Occupational Therapy, Teikyo University of Science, 2525 Yatsusawa, Uenohara-shi, Yamanashi, 409-0193, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"TETSURO","family":"ENDO","sequence":"additional","affiliation":[{"name":"Department of Electronics and Bioinfomatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-Shi, Kanagawa, 214-8571, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,6,28]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1137\/0147038"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1137\/040608714"},{"key":"rf4","first-page":"1788","volume":"77","author":"Papy O.","journal-title":"IEICE Trans. Fund. E"},{"key":"rf5","volume-title":"Practical Numerical Algorithms for Chaotic Systems","author":"Parker T. S.","year":"1992"},{"key":"rf6","first-page":"2540","volume":"91","author":"Shimizu K.","journal-title":"IEICE Trans. Fund. E"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1587\/nolta.2.139"},{"key":"rf8","first-page":"2233","volume":"87","author":"Yamauchi M.","journal-title":"IEICE Trans. Fund. E"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412501234","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T16:14:14Z","timestamp":1565194454000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412501234"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5]]},"references-count":8,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2012,6,28]]},"published-print":{"date-parts":[[2012,5]]}},"alternative-id":["10.1142\/S0218127412501234"],"URL":"https:\/\/doi.org\/10.1142\/s0218127412501234","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5]]}}}