Bifurcation analysis of the Watt governor system
AUTOR(ES)
Sotomayor, Jorge, Mello, Luis Fernando, Braga, Denis de Carvalho
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2007
RESUMO
This paper pursues the study carried out by the authors in Stability and Hopf bifurcation in the Watt governor system [14], focusing on the codimension one Hopf bifurcations in the centrifugal Watt governor differential system, as presented in Pontryagin's book Ordinary Differential Equations, [13]. 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.
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