Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81855
Type: Artigo de periódico
Title: On the appearance of a Hopf bifurcation in a non-ideal mechanical problem
Author: Dantas, MJH
Balthazar, JM
Abstract: In this paper we studied a non-ideal system with two degrees of freedom consisting of a dumped nonlinear oscillator coupled to a rotatory part. We investigated the stability of the equilibrium point of the system and we obtain, in the critical case, sufficient conditions in order to obtain an appropriate Normal Form. From this, we get conditions for the appearance of Hopf Bifurcation when the difference between the driving torque and the resisting torque is small. It was necessary to use the Bezout Theorem, a classical result of Algebraic Geometry, in the obtaining of the foregoing results. (C) 2003 Elsevier Ltd. All rights reserved.
Subject: Hopf bifurcation
non-ideal problems
center manifold
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/S0093-6413(03)00041-7
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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