Hopf Bifurcations in a Watt Governor with a Spring

被引：0
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作者：
Jorge Sotomayor
Luis Fernando Mello
Denis de Carvalho Braga
机构：
[1] Universidade de São Paulo,Instituto de Matemática e Estatística
[2] Rua do Matão 1010,Instituto de Ciências Exatas
[3] Cidade Universitá ria,Instituto de Sistemas Elétricos e Energia
[4] Universidade Federal de Itajubá,undefined
[5] Universidade Federal de Itajubá,undefined
来源：
Journal of Nonlinear Mathematical Physics | 2008年 / 15卷
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摘要：
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.
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页码：288 / 299
页数：11
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