activity
20032022
most citedLyapunov Coefficients for Degenerate Hopf Bifurcations

20 citations · 52 across the 11 of their papers we have counts for

collaborators

11 papers

gr-qc2022

Spatially flat universes with isotropic tidal forces

Fabio Scalco Dias, Leandro Gustavo Gomes, Luis Fernando Mello

We investigate the dynamics of the spatially flat universes submitted to isotropic tidal forces and adiabatic expansion under Einstein's equations. Surprisingly, the tendency to a…

math.DG2010

Surfaces Around Closed Principal Curvature Lines, an Inverse Problem

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

Given a non circular spacial closed curve whose total torsion is an integer multiple of , we construct a germ of a smooth surface that contains it as a hyperbolic principal cyc…

math.DS2008★ 12 cited

Hopf Bifurcations in a Watt Governor With a Spring

Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga

This paper pursues the study carried out by the authors in "Stability and Hopf bifurcation in a hexagonal governor system", focusing on the codimension one Hopf bifurcations in the…

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.DS2007★ 1 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…