84 citations · 259 across the 20 of their papers we have counts for
20 papers
Synge's dynamic problem for two isolated point charges. A new method to find global solutions for Functional Differential Equations System
Rodrigo R. Silva, Annibal Figueiredo
Synge's problem consists in to determine the dynamics of two point electrical charges interacting through their electromagnetic fields, without to take into account the radiation t…
Mathematical Properties of Strategies to Control Epidemic Outbreaks in the Context of SEIR Models with Multiple Infectious Stages
Annibal Figueiredo, Tarcısio Marciano da Rocha Filho
In this work we analyze mathematically the consequences and effectiveness of strategies to control an epidemic in the framework of classical SEIR models with multiple parallel infe…
Modified Verhulst-Solow model for long-term population and economic growths
Iram Gleriaa, Sergio Da Silvab, Leon Brenig +2
In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model,…
Hard-core collisional dynamics in the hamiltonian mean-field model
Luciano Miranda Filho, Igor Melo, Annibal Figueiredo +3
We consider a modification of the well studied Hamiltonian Mean-Field model by introducing a hard-core point-like repulsive interaction and propose a numerical integration scheme t…
Distribution Probability of Force for a Physical System of N Random Particles
A. D. Figueiredo, T. M. da Rocha Filho, M. A. Amato
The present paper attempts to address a discussion on mathematical grounds of a model to associate the generalized version of the CLT and the -body problem related to the calcul…
Equivalence between nonlinear dynamical systems and urn processes
Léon Brenig, Iram Gleria, Tarcísio M. Rocha Filho +2
An equivalence is shown between a large class of deterministic dynamical systems and a class of stochastic processes, the balanced urn processes. These dynamical systems are govern…