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Bifurcation Chaos"],"published-print":{"date-parts":[[2024,3,15]]},"abstract":"<jats:p> For the cantilever beam vibration model without damping and forced terms, the corresponding differential system is a planar dynamical system with some singular straight lines. In this paper, by using the techniques from dynamical systems and singular traveling wave theory developed by [ Li &amp; Chen, 2007 ] to analyze its corresponding differential system, the bifurcations and the dynamical behaviors of the corresponding phase portraits are identified and analyzed. Under different parameter conditions, exact homoclinic and heteroclinic solutions, periodic solutions, compacton solutions, as well as peakons and periodic peakons, are all found explicitly. <\/jats:p>","DOI":"10.1142\/s0218127424500391","type":"journal-article","created":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T03:30:28Z","timestamp":1709782228000},"source":"Crossref","is-referenced-by-count":0,"title":["Bifurcations and Exact Solutions of a Cantilever Beam Vibration Model Without Damping and Forced Terms"],"prefix":"10.1142","volume":"34","author":[{"given":"Jinsen","family":"Zhuang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"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 SAR, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4839-5956","authenticated-orcid":false,"given":"Jibin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P. R. China"},{"name":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. 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