most citedLyapunov Coefficients for Degenerate Hopf Bifurcations

20 citations · 39 across the 5 of their papers we have counts for

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5 papers

math.DS2007★ 20 cited

Lyapunov Coefficients for Degenerate Hopf Bifurcations

Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga

In this paper are studied the codimensions one, two, three and four Hopf bifurcations and the pertinent Lyapunov stability coefficients. Algebraic expressions obtained with compute…

math.DS2007

Hopf Bifurcation in a Model for Biological Control

Jorge Sotomayor, Luis Fernando Mello, Danilo Braun Santos +1

In this paper we study the Lyapunov stability and Hopf bifurcation in a biological system which models the biological control of parasites of orange plantations.

math.DS2006

Stability and Hopf Bifurcation in an Hexagonal Governor System With a Spring

Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga

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 conditi…

math.DS2006

Bifurcation Analysis of the Watt Governor System

Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga

This paper pursues the study carried out by the authors in {\it Stability and Hopf bifurcation in the Watt governor system} \cite{smb}, focusing on the codimension one Hopf bifurca…

math.DS2006★ 19 cited

Stability and Hopf Bifurcation in the Watt Governor System

Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga

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…