Stability and Hopf Bifurcation in the Watt Governor System

Details Stability and Hopf Bifurcation in the Watt Governor System Stability and Hopf Bifurcation in the Watt Governor System

2006-04-07

arxiv.org/abs/math/0604177v1

Mathematics

Dynamical Systems

23 pages, 3 figures

Scientific paper

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.

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