8 papers
On semi-vector spaces and semi-algebras
Giuliano G. La Guardia, Jocemar de Q. Chagas, Ervin K. Lenzi +1
It is well-known that the theories of semi-vector spaces and semi-algebras -- which were not much studied over time -- are utilized/applied in Fuzzy Set Theory in order to obtain e…
Large Diffusivity and Rate of Convergence of Attractors in Parabolic Systems
Leonardo Pires
In this paper we are concerned with rate of convergence of parabolic systems with large diffusion. We will exhibit the exact moment that spatial homogenization occurs and estimate…
The effect of perturbations on the convergence of attractors for reaction-diffusion equations concerning variations of nonlinear boundary conditions
Flank D. M. Bezerra, Marcone C. Pereira, Leonardo Pires
This paper presents estimates of the convergence of asymptotic dynamics of reaction-diffusion equations with nonlinear boundary conditions. We show how the convergence of the globa…
A Lipschitz version of the -Lemma and a characterization of homoclinic and heteroclinic orbits
Leonardo Pires, Giuliano G. La Guardia
In this paper we consider finite dimensional dynamical systems generated by a Lipschitz function. We prove a version of the Whitney's Extension Theorem on compact manifolds to obta…
Lipschitz perturbations of Morse-Smale semigroups
M. C. Bortolan, C. A. E. N. Cardoso, A. N. Carvalho +1
In this paper we will deal with Lipschitz continuous perturbations of Morse-Smale semigroups with only equilibrium points as critical elements. We study the behavior of the structu…
Rate of convergence of attractors for semilinear singularly perturbed problems: parabolic equations with large diffusion
Leonardo Pires
We exhibit a singularly perturbed parabolic problems for which the asymptotic behavior can be described by an one-dimensional ordinary differential equation. We estimate the contin…