{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,24]],"date-time":"2026-10-24T14:33:35Z","timestamp":1792852415389,"version":"4.5.0"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Ltd","issue":"10","funder":[{"DOI":"10.13039\/501100010225","name":"National Outstanding Youth Foundation of China","doi-asserted-by":"publisher","award":["11871231"],"award-info":[{"award-number":["11871231"]}],"id":[{"id":"10.13039\/501100010225","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010225","name":"National Outstanding Youth Foundation of China","doi-asserted-by":"publisher","award":["12071162"],"award-info":[{"award-number":["12071162"]}],"id":[{"id":"10.13039\/501100010225","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010225","name":"National Outstanding Youth Foundation of China","doi-asserted-by":"publisher","award":["11701191"],"award-info":[{"award-number":["11701191"]}],"id":[{"id":"10.13039\/501100010225","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2026,8]]},"abstract":"<jats:p>In this paper, we consider the bifurcations and exact solutions in the symmetric [Formula: see text] triple-well model. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the corresponding planar dynamical system under different parameter conditions. Corresponding to some level curves, we derive possible exact explicit parametric representations of the smooth periodic solution, homoclinic solutions, as well as heteroclinic solutions.<\/jats:p>","DOI":"10.1142\/s0218127426501415","type":"journal-article","created":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T13:28:54Z","timestamp":1776432534000},"source":"Crossref","is-referenced-by-count":2,"title":["Bifurcations and Exact Solutions in a Symmetric Triple-Well Model"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4839-5956","authenticated-orcid":false,"given":"Jibin","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejing 321004, P.\u00a0R. China"},{"name":"School of Mathematical Science, Huaqiao University, Quanzhou, Fujian 362021, P.\u00a0R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1381-7418","authenticated-orcid":false,"given":"Guanrong","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong 999077, P.\u00a0R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2026,4,17]]},"reference":[{"key":"S0218127426501415BIB001","volume-title":"Handbook of Elliptic Integrals for Engineers and Scientists","author":"Fridman M. D.","year":"1971"},{"key":"S0218127426501415BIB002","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.32.292"},{"key":"S0218127426501415BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2026.131392"},{"key":"S0218127426501415BIB004","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/9\/8\/029"},{"key":"S0218127426501415BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407019858"},{"key":"S0218127426501415BIB006","volume-title":"Singular Nonlinear Traveling Wave Equations: Bifurcation and Exact Solutions","author":"Li J.","year":"2013"},{"key":"S0218127426501415BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127425400103"},{"key":"S0218127426501415BIB008","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.132.241601"},{"key":"S0218127426501415BIB009","doi-asserted-by":"publisher","DOI":"10.1038\/317505a0"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127426501415","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,25]],"date-time":"2026-05-25T04:18:48Z","timestamp":1779682728000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127426501415"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4,17]]},"references-count":9,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2026,8]]}},"alternative-id":["10.1142\/S0218127426501415"],"URL":"https:\/\/doi.org\/10.1142\/s0218127426501415","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4,17]]},"article-number":"2650141"}}