{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,20]],"date-time":"2024-01-20T05:40:19Z","timestamp":1705729219059},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2004,8]]},"abstract":"<jats:p> The dynamics of differential-difference-algebraic equations is studied. The paper extends the study of the local bifurcations to transcritical and pitchfork bifurcation under certain nondegenerate conditions using Lyapunov\u2013Schmidt reduction. Furthermore, an improved version of singularity induced bifurcation theorem is given in this paper. <\/jats:p>","DOI":"10.1142\/s0218127404010886","type":"journal-article","created":{"date-parts":[[2004,9,17]],"date-time":"2004-09-17T06:44:54Z","timestamp":1095403494000},"page":"2853-2865","source":"Crossref","is-referenced-by-count":1,"title":["BIFURCATION ANALYSIS OF DIFFERENTIAL-DIFFERENCE-ALGEBRAIC EQUATIONS"],"prefix":"10.1142","volume":"14","author":[{"given":"DONGYUN","family":"DU","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences,  Tsinghua University, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"YUN","family":"TANG","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences,  Tsinghua University, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0020948","volume-title":"Hybrid Systems III-Verification and Control","volume":"1066","author":"Alur R.","year":"1996"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-60472-3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0031551"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-49163-5"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/9.664150"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-7796(99)00097-8"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/81.915387"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/9.62267"},{"key":"rf10","series-title":"Lecture Notes in Computer Science","volume-title":"Hybrid Systems","volume":"736","author":"Grossman R. L.","year":"1995"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(99)00012-2"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/37.793443"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00938213"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/BF00938214"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00165-4"},{"key":"rf18","volume-title":"Robust Process Control","author":"Morari M.","year":"1989"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(98)00203-5"},{"key":"rf20","unstructured":"T. I.\u00a0Seidman, Switching systems, Technical Report (UMBC, Baltimore, MD, 1986)\u00a0pp. 78\u201386."},{"key":"rf22","volume-title":"Foundation of Bifurcation Theorem with Symmetry","author":"Tang Y.","year":"1998"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(83)90004-X"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1109\/9.173142"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1109\/9.478226"},{"key":"rf26","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins S.","year":"1991"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(97)00027-3"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1109\/9.948482"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1109\/9.664149"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127404010886","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:03:58Z","timestamp":1565121838000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127404010886"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,8]]},"references-count":25,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2004,8]]}},"alternative-id":["10.1142\/S0218127404010886"],"URL":"https:\/\/doi.org\/10.1142\/s0218127404010886","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,8]]}}}