{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,14]],"date-time":"2026-01-14T23:40:13Z","timestamp":1768434013324,"version":"3.49.0"},"reference-count":26,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,7]]},"abstract":"<jats:p> We study the chaotic dynamics of one-degree-of-freedom nonlinear oscillator representing a density perturbation in plasma device model excited by parametric and external driven forces. Critical parameters for the onset of chaotic motions are specified using Melnikov method. The analytical results are confirmed by numerical simulations. The global dynamical changes of the system have been examined by evaluating parametric changes of the bifurcation diagrams, maximum Lyapunov exponent, Poincar\u00e9 map and the basin boundaries of attraction. The transitions to chaos caused by the cascade bifurcation and intermittency are clearly shown by graphical methods. <\/jats:p>","DOI":"10.1142\/s0218127411029471","type":"journal-article","created":{"date-parts":[[2011,8,31]],"date-time":"2011-08-31T11:19:45Z","timestamp":1314789585000},"page":"1879-1893","source":"Crossref","is-referenced-by-count":9,"title":["TRANSITION TO CHAOS IN PLASMA DENSITY WITH ASYMMETRY DOUBLE-WELL POTENTIAL FOR PARAMETRIC AND EXTERNAL HARMONIC OSCILLATIONS"],"prefix":"10.1142","volume":"21","author":[{"given":"C. NONO DUEYOU","family":"BUCKJOHN","sequence":"first","affiliation":[{"name":"Laboratoire de M\u00e9canique, D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I, B.P. 812 Yaound\u00e9, Cameroun"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. SIEWE","family":"SIEWE","sequence":"additional","affiliation":[{"name":"Laboratoire de M\u00e9canique, D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I, B.P. 812 Yaound\u00e9, Cameroun"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C.","family":"TCHAWOUA","sequence":"additional","affiliation":[{"name":"Laboratoire de M\u00e9canique, D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I, B.P. 812 Yaound\u00e9, Cameroun"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T. C.","family":"KOFANE","sequence":"additional","affiliation":[{"name":"Laboratoire de M\u00e9canique, D\u00e9partement de Physique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I, B.P. 812 Yaound\u00e9, Cameroun"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.22.275"},{"key":"rf2","first-page":"111","volume":"4","author":"Adriaratnam S. T.","journal-title":"Dyn. Stab. Syst."},{"key":"rf3","first-page":"285","volume":"16","author":"Alan W.","journal-title":"Physica D"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1140\/epjd\/e20020058"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(00)00675-7"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.59.551"},{"key":"rf7","first-page":"170","volume":"70","author":"Ding J. W.","journal-title":"Phys. Rev. Lett."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1979.0068"},{"key":"rf9","first-page":"137","volume":"172","author":"Hulbert C. S. H.","journal-title":"Phys. Rev."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.23.760"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1088\/0022-3727\/3\/12\/315"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407017732"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.41.726"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.07.021"},{"key":"rf15","first-page":"1","volume":"12","author":"Melnikov V. K.","journal-title":"Trans. Moscow Math. Soc."},{"key":"rf16","first-page":"117","volume":"65","author":"Michael T.","journal-title":"Physica D"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/40\/24\/F06"},{"key":"rf18","first-page":"1039","volume":"31","author":"Peter D.","journal-title":"Phys. Rev. Lett."},{"key":"rf19","first-page":"702","volume":"32","author":"Perron O.","journal-title":"Mathematische Zeitschrift bd."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.63.163"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127493000350"},{"key":"rf23","volume-title":"Nonlinear Dynamics and Chaos, with Application to Physics, Biology, Chemistry, and Engineering","author":"Steven H. S.","year":"2001"},{"key":"rf24","first-page":"613","volume":"59","author":"Thomas B.","journal-title":"Phys. Rev. Lett."},{"key":"rf25","first-page":"2770","volume":"68","author":"Thomas B.","journal-title":"Phys. Rev. Lett."},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(87)90403-8"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1042-9"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127411029471","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:23:17Z","timestamp":1565130197000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127411029471"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7]]},"references-count":26,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2011,7]]}},"alternative-id":["10.1142\/S0218127411029471"],"URL":"https:\/\/doi.org\/10.1142\/s0218127411029471","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7]]}}}