Bifurcation Analysis of the Watt Governor System

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dc.creatorSotomayor, Jorge
dc.creatorMello, Luis Fernando
dc.creatorBraga, Denis de Carvalho
dc.date2006-06-09
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:17:09Z
dc.date.available2026-07-07T07:17:09Z
dc.descriptionThis paper pursues the study carried out by the authors in {\it Stability and Hopf bifurcation in the Watt governor system} \cite{smb}, focusing on the codimension one Hopf bifurcations in the centrifugal Watt governor differential system, as presented in Pontryagin's book {\it Ordinary Differential Equations}, \cite{pon}. Here are studied the codimension two and three Hopf bifurcations and the pertinent Lyapunov stability coefficients and bifurcation diagrams, illustrating the number, types and positions of bifurcating small amplitude periodic orbits, are determined. As a consequence it is found a region in the space of parameters where an attracting periodic orbit coexists with an attracting equilibrium.
dc.description34 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0606230
dc.identifierhttp://arxiv.org/abs/math/0606230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113839
dc.subjectDynamical Systems
dc.subject70K50; 70K20
dc.titleBifurcation Analysis of the Watt Governor System
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