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Unpure quadratic parameter and parametric excitation amplitude effects are found on the critical Melnikov amplitude \u03bc<jats:sub> cr <\/jats:sub>. Finally, the phase space of initial conditions is carefully examined in order to analyze the effect of the nonlinear damping, and particularly how the basin boundaries become fractalized. <\/jats:p>","DOI":"10.1142\/s0218127415500248","type":"journal-article","created":{"date-parts":[[2015,2,26]],"date-time":"2015-02-26T02:18:11Z","timestamp":1424917091000},"page":"1550024","source":"Crossref","is-referenced-by-count":19,"title":["Effect of Nonlinear Dissipation on the Basin Boundaries of a Driven Two-Well Modified Rayleigh\u2013Duffing Oscillator"],"prefix":"10.1142","volume":"25","author":[{"given":"C. H.","family":"Miwadinou","sequence":"first","affiliation":[{"name":"Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. V.","family":"Monwanou","sequence":"additional","affiliation":[{"name":"Institut de Math\u00e9matiques et de Sciences Physiques, Universit\u00e9 d'Abomey-Calavi, BP: 613 Porto Novo, B\u00e9nin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. 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