Hopf Bifurcations in a Watt Governor with a Spring

DOI

10.2991/jnmp.2008.15.s3.28How to use a DOI?

Abstract

This paper pursues the study carried out in [10], focusing on the codimension one Hopf bifurcations in the hexagonal Watt governor system. Here are studied Hopf bifurcations of codimensions two, three and four and the pertinent Lyapunov stability coefficients and bifurcation diagrams. This allows to determine the number, types and positions of bifurcating small amplitude periodic orbits. As a consequence it is found an open region in the parameter space where two attracting periodic orbits coexist with an attracting equilibrium point.

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - JOUR
AU  - Jorge Sotomayor
AU  - Luis Fernando Mello
AU  - Denis de Carvalho Braga
PY  - 2008
DA  - 2008/10/01
TI  - Hopf Bifurcations in a Watt Governor with a Spring
JO  - Journal of Nonlinear Mathematical Physics
SP  - 288
EP  - 299
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.28
DO  - 10.2991/jnmp.2008.15.s3.28
ID  - Sotomayor2008
ER  -