{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:27:18Z","timestamp":1763641638965},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2013,1]]},"abstract":"<jats:p> The traveling wave system of a microstructured solid model belongs to the second class of singular traveling wave equations studied in [Li et al., 2009]. In this paper, by using methods from dynamical systems theory, bifurcations of phase portraits of such a traveling wave system are analyzed in its corresponding parameter space. The existence of kink wave solutions and uncountably infinitely many bounded solutions is proved. Moreover, the exact parametric representations of periodic solutions and homoclinic orbits are obtained. <\/jats:p>","DOI":"10.1142\/s0218127413500090","type":"journal-article","created":{"date-parts":[[2013,3,6]],"date-time":"2013-03-06T01:39:24Z","timestamp":1362533964000},"page":"1350009","source":"Crossref","is-referenced-by-count":9,"title":["BIFURCATIONS OF TRAVELING WAVE SOLUTIONS IN A MICROSTRUCTURED SOLID MODEL"],"prefix":"10.1142","volume":"23","author":[{"given":"JIBIN","family":"LI","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"},{"name":"Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GUANRONG","family":"CHEN","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,3,5]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.3176\/proc.2010.2.02"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0555-5"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/38\/23\/006"},{"key":"rf4","volume-title":"On the Study of Singular Nonlinear Traveling Equations: Dynamical System Approach","author":"Li J. B.","year":"2007"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409023639"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s10255-008-8139-1"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511606236"},{"key":"rf8","volume-title":"Fundamentals of Functionally Graded Materials","author":"Suresh S.","year":"1998"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127413500090","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:05:28Z","timestamp":1565125528000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127413500090"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1]]},"references-count":8,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2013,3,5]]},"published-print":{"date-parts":[[2013,1]]}},"alternative-id":["10.1142\/S0218127413500090"],"URL":"https:\/\/doi.org\/10.1142\/s0218127413500090","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1]]}}}