{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T17:50:33Z","timestamp":1773856233340,"version":"3.50.1"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,4]]},"abstract":"<jats:p> This paper deals with the dynamics and active control of a driven multi-limit-cycle Van der Pol oscillator. The amplitude of the oscillatory states both in the autonomous and nonautonomous case are derived. The interaction between the amplitudes of the external excitation and the limit-cycles are also analyzed. The domain of the admissible values on the amplitude for the external excitation is found. The effects of the control parameter on the behavior of a driven multi-limit-cycle Van der Pol model are analyzed and it appears that with the appropriate selection of the coupling parameter, the quenching of chaotic vibrations takes place. <\/jats:p>","DOI":"10.1142\/s0218127407017847","type":"journal-article","created":{"date-parts":[[2007,6,12]],"date-time":"2007-06-12T05:09:04Z","timestamp":1181624944000},"page":"1343-1354","source":"Crossref","is-referenced-by-count":29,"title":["DYNAMICS AND ACTIVE CONTROL OF MOTION OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR"],"prefix":"10.1142","volume":"17","author":[{"given":"R.","family":"YAMAPI","sequence":"first","affiliation":[{"name":"Department of Physics, Faculty of Sciences, University of Douala, P.O. Box 24157 Douala, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B. R.","family":"NANA NBENDJO","sequence":"additional","affiliation":[{"name":"Laboratoire de M\u00e9canique, Facult\u00e9 des Sciences, Universit\u00e9 de Yaound\u00e9 I, B.P. 812, Yaound\u00e9, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H. G.","family":"ENJIEU KADJI","sequence":"additional","affiliation":[{"name":"Institut de Math\u00e9matiques et de Sciences Physiques (IMSP), B.P. 613 Porto-Novo, B\u00e9nin"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(93)90047-O"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749100052X"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1002\/9780470172520.ch75"},{"key":"rf4","volume-title":"Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields","author":"Guckenheimer J.","year":"1994"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(93)90018-G"},{"key":"rf6","volume-title":"Nonlinear Oscillations","author":"Hagedorn P.","year":"1988"},{"key":"rf7","volume-title":"Non-Linear Oscillations in Physical Systems","author":"Hayashi C.","year":"1964"},{"key":"rf8","volume-title":"Active Control in Mechanical Engineering","author":"Jezequel","year":"1995"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1029\/RS017i05Sp0017S"},{"key":"rf10","volume-title":"Coherent Excitations in Biological Systems: Specific Effects in Externally Driven Self-Sustained Oscillating Biophysical Systems","author":"Kaiser F.","year":"1983"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-4253-3_11"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-71867-0_21"},{"key":"rf13","first-page":"395","volume":"32","author":"Kaiser F.","journal-title":"Kleinheubacher Berichte"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127491000385"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5193(89)80136-5"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1115\/1.1419201"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(02)00681-1"},{"key":"rf18","volume-title":"Nonlinear Oscillations","author":"Nayfeh A. H.","year":"1979"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.36.1428"},{"key":"rf20","volume-title":"Active Structural Control: Theory and Practice","author":"Soong T. T.","year":"1990"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(02)00447-5"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7462(01)00081-6"},{"key":"rf23","first-page":"1","volume":"221","author":"Tgeni M. S.","journal-title":"J. Sound Vibr."},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.56.6321"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2002.5289"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127407017847","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:58:44Z","timestamp":1565189924000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127407017847"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,4]]},"references-count":25,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,4]]}},"alternative-id":["10.1142\/S0218127407017847"],"URL":"https:\/\/doi.org\/10.1142\/s0218127407017847","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,4]]}}}