Stability and Hopf Bifurcation in an Hexagonal Governor System With a Spring
Dynamical Systems
2007-05-23 v1
Abstract
In this paper we study the Lyapunov stability and the Hopf bifurcation in a system coupling an hexagonal centrifugal governor with a steam engine. Here are given sufficient conditions for the stability of the equilibrium state and of the bifurcating periodic orbit. These conditions are expressed in terms of the physical parameters of the system, and hold for parameters outside a variety of codimension two.
Keywords
Cite
@article{arxiv.math/0612420,
title = {Stability and Hopf Bifurcation in an Hexagonal Governor System With a Spring},
author = {Jorge Sotomayor and Luis Fernando Mello and Denis de Carvalho Braga},
journal= {arXiv preprint arXiv:math/0612420},
year = {2007}
}
Comments
23 pages, 3 figures