Bifurcation analysis of the Watt governor system

Bifurcation analysis of the Watt governor system

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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Main Authors: Sotomayor,Jorge, Mello,Luis Fernando, Braga,Denis de Carvalho
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2007
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000100002
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spelling oai:scielo:S1807-030220070001000022007-05-10Bifurcation analysis of the Watt governor systemSotomayor,JorgeMello,Luis FernandoBraga,Denis de Carvalho centrifugal governor Hopf bifurcations periodic orbit 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.info:eu-repo/semantics/openAccessSociedade Brasileira de Matemática Aplicada e ComputacionalComputational & Applied Mathematics v.26 n.1 20072007-01-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000100002en
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Sotomayor,Jorge
Mello,Luis Fernando
Braga,Denis de Carvalho
spellingShingle Sotomayor,Jorge
Mello,Luis Fernando
Braga,Denis de Carvalho
Bifurcation analysis of the Watt governor system
author_facet Sotomayor,Jorge
Mello,Luis Fernando
Braga,Denis de Carvalho
author_sort Sotomayor,Jorge
title Bifurcation analysis of the Watt governor system
title_short Bifurcation analysis of the Watt governor system
title_full Bifurcation analysis of the Watt governor system
title_fullStr Bifurcation analysis of the Watt governor system
title_full_unstemmed Bifurcation analysis of the Watt governor system
title_sort bifurcation analysis of the watt governor system
description 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.
publisher Sociedade Brasileira de Matemática Aplicada e Computacional
publishDate 2007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000100002
work_keys_str_mv AT sotomayorjorge bifurcationanalysisofthewattgovernorsystem
AT melloluisfernando bifurcationanalysisofthewattgovernorsystem
AT bragadenisdecarvalho bifurcationanalysisofthewattgovernorsystem
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