4 citations · 6 across the 4 of their papers we have counts for
4 papers
The inverse problem for fractal curves solved with the dynamical approach method
Luiz Bevilacqua, Marcelo M. Barros, Felipe C. V. Venturelli
The purpose of the present paper is to present the main applications of a new method for the determination of the fractal structure of plane curves. It is focused on the inverse pr…
Energy exchange in a dual flow diffusion process that consists of particles of the same nature divided into two different microstates
Luiz Bevilacqua, Maosheng Jiang
This article presents a new approach to the dynamics of a particle system, divided into two distinct microstates spreading out in a homogeneous medium. The particles belonging to t…
Dynamical Characterization of Fractal Objects: Determination of the Fine Fractal Topology Using the Energy Cover
Luiz Bevilacqua, Marcelo Miranda Barros, Gil Márcio A. Silva
The foundation of the theory presented here has already been proved to be effective for the case of curves belonging to the Koch family. The present paper extends the investigation…
A Mathematical Approach to the Plato's Problem
Luiz Bevilacqua, Adilson J. V. Brandao, Rodney Bassanezi
Maybe the first inverse problem presented in the history of the occidental thought is described in the book Republic, written by Plato. The problem is posed in the Book VII in a te…