2 citations · 2 across the 4 of their papers we have counts for
4 papers
Arithmetic properties of arguments of algebraic numbers on the unit circle
Geraldo César Gonçalves Ferreira, Sávio Ribas
An irrational number is called Diophantine if there exist and such that holds for every $(p,q) \in \mathbb{Z…
Symmetric periodic orbits in symmetric billiards
Geraldo César Ferreira Gonçcalves, Sylvie Oliffson Kamphorst, Sônia Pinto-de-Carvalho
In this text we study billiards on ovals and investigate some consequences of a rotational symmetry of the boundary on the dynamics. As it simplifies some calculations, the symmetr…
A slight generalization of Steffensen Method for Solving Non Linear Equations
Eder Marinho Martins, Geraldo Cesar Gonçalves Ferreira, Thais Ester Gonçalves
In this article, we present an iterative method to find simple roots of nonlinear equations, that is, to solving an equation of the form . Different from Newton's method,…
Billiard dynamics near an invariant horizontal circle
Geraldo Cesar Goncalves Ferreira, Sylvie Oliffson Kamphorst, Sonia Pinto-de-Carvalho
Sufficiently differentiable oval billiards always have invariant rotational curves, but there are only two types of ovals with an invariant horizontal circle in its phase-space: th…