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Then period doubling bifurcation is prevented in order to extend the frequency range where a period-1 rotating orbit is observed. Finally, bifurcation to chaos is avoided and a stable rotating solution is obtained. In all cases, the continuous method is used for successive control. The bifurcation control method proposed here allows the system to maintain the desired rotational solutions over an extended range of excitation frequency and amplitude.<\/jats:p>","DOI":"10.1142\/s0218127412501118","type":"journal-article","created":{"date-parts":[[2012,3,29]],"date-time":"2012-03-29T01:21:56Z","timestamp":1332984116000},"page":"1250111","source":"Crossref","is-referenced-by-count":41,"title":["BIFURCATION CONTROL OF A PARAMETRIC PENDULUM"],"prefix":"10.1142","volume":"22","author":[{"given":"ALINE S.","family":"DE PAULA","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Universidade de Bras\u00edlia, 70.910.900, Bras\u00edlia, DF, Brazil"}]},{"given":"MARCELO A.","family":"SAVI","sequence":"additional","affiliation":[{"name":"COPPE\/Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, 21.941.972, Rio de Janeiro, RJ, P. O. 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