Dantas, M. J.Balthazar, José Manoel [UNESP]2014-02-262014-05-202014-02-262014-05-202006-04-01International Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 16, n. 4, p. 1083-1088, 2006.0218-1274http://hdl.handle.net/11449/24811This paper concerns a type of rotating machine (centrifugal vibrator), which is supported on a nonlinear spring. This is a nonideal kind of mechanical system. The goal of the present work is to show the striking differences between the cases where we take into account soft and hard spring types. For soft spring, we prove the existence of homoclinic chaos. By using the Melnikov's Method, we show the existence of an interval with the following property: if a certain parameter belongs to this interval, then we have chaotic behavior; otherwise, this does not happen. Furthermore, if we use an appropriate damping coefficient, the chaotic behavior can be avoided. For hard spring, we prove the existence of Hopf's Bifurcation, by using reduction to Center Manifolds and the Bezout Theorem (a classical result about algebraic plane curves).1083-1088engchaosnonideal problemMelnikov's methodHopf bifurcationcenter manifoldsArtigo10.1142/S0218127406015349WOS:000238496000018Acesso restrito