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most citedLyapunov Coefficients for Degenerate Hopf Bifurcations

20 citations · 21 across the 4 of their papers we have counts for

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math.DS200720 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.DS20071 cited

The Aharonov-Bohm effect: Mathematical Aspects of the Quantum Flow

Luis Fernando Mello, Yuri Cândido Ribeiro

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The sca…

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.DS2003

Principal Mean Curvature Foliations on Surfaces immersed in

R. Garcia, L. F. Mello, J. Sotomayor

Here are studied qualitative properties of the families of curves --foliations-- on a surface immersed in , along which it bends extremally in the direction of the m…