{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:03:31Z","timestamp":1772294611172,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,2]]},"abstract":"<jats:p> In this paper, we consider the initial-boundary value problem of the one-dimensional linear mixed wave equation \u03c9<jats:sub>tt<\/jats:sub> - d\u03c9<jats:sub>tx<\/jats:sub> - c<jats:sup>2<\/jats:sup>\u03c9<jats:sub>xx<\/jats:sub> = 0 (d \u2208 \u211d, c &gt; 0) on an interval, where the boundary condition at the left endpoint is linear, pumping energy into the system, while the boundary condition at the right endpoint has odd-degree nonlinearity. This problem is said to be the one-dimensional mixed wave system. The solution of the one-dimensional mixed wave system corresponds to the iteration of an interval map h. Thus, the mixed wave system is said to be chaotic if the interval map h is chaotic in the sense of Li\u2013Yorke. In this paper, we show that the mixed wave system is chaotic under some conditions. <\/jats:p>","DOI":"10.1142\/s0218127409023202","type":"journal-article","created":{"date-parts":[[2009,5,8]],"date-time":"2009-05-08T11:52:17Z","timestamp":1241783537000},"page":"579-590","source":"Crossref","is-referenced-by-count":21,"title":["CHAOTIC VIBRATIONS OF THE ONE-DIMENSIONAL MIXED WAVE SYSTEM"],"prefix":"10.1142","volume":"19","author":[{"given":"CHUNG-CHE","family":"HU","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, National Chiao Tung University, Hsin-Chu 30010, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-98-02022-4"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127498000280"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127498000292"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1063\/1.532670"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402004504"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404010540"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403007138"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(03)00562-6"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740401031X"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405012223"},{"key":"rf11","first-page":"509","volume":"13","author":"Huang Y.","journal-title":"Dyn. Contin. Discr. Impul. Syst. Series A: Math. Anal."},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.2307\/2318254"},{"key":"rf13","first-page":"255","volume":"346","author":"Lozi R.","journal-title":"Grazer Math. Ber., Bericht Nr."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127409023202","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:02:30Z","timestamp":1565136150000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127409023202"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,2]]},"references-count":13,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,2]]}},"alternative-id":["10.1142\/S0218127409023202"],"URL":"https:\/\/doi.org\/10.1142\/s0218127409023202","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,2]]}}}