arXiv:math/0604177 Abstract

arXiv:math/0604177 [math.DS]Abstract References Reviews Resources

Stability and Hopf Bifurcation in the Watt Governor System

Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga

Published 2006-04-07Version 1

In this paper we study the Lyapunov stability and Hopf bifurcation in a system coupling a Watt-centrifugal-governor with a steam-engine. Sufficient conditions for the stability of the equilibrium state in terms of the physical parameters and of the bifurcating periodic orbit at most critical parameters on the bifurcation surface are given.

Comments: 23 pages, 3 figures

Categories: math.DS

Subjects: 70K50, 70K20

Keywords: watt governor system, hopf bifurcation, lyapunov stability, sufficient conditions, equilibrium state

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