37 citations · 53 across the 10 of their papers we have counts for
12 papers
Center manifolds for Random Dynamical Systems with generalized trichotomies
António J. G. Bento, Helder Vilarinho
For small perturbations of linear Random Dynamical Systems evolving on a Banach space and exhibiting a generalized form of trichotomy, we prove the existence of invariant center ma…
Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms
António J. G. Bento, José J. Oliveira, César M. Silva
In this paper, a new global exponential stability criterion is obtained for a general multidimensional delay difference equation using induction arguments. In the cases that the di…
Invariant manifolds for Random Dynamical Systems on Banach Spaces exhibiting generalized dichotomies
António J. G. Bento, Helder Vilarinho
We prove the existence of measurable invariant manifolds for small perturbations of linear Random Dynamical Systems evolving on a Banach space and admitting a general type of dicho…
Global Lipschitz Invariant Center Manifolds for ODEs with Generalized Trichotomies
António J. G. Bento, Cristina Tomás da Costa
In a Banach space, assuming that a linear nonautonomous differential equation admits a very general type of trichotomy, we establish conditions for the existence of glob…
Nonuniform behavior and stability of Hopfield neural networks with delay
António J. G. Bento, José J. Oliveira, César M. Silva
We obtain a result on the behavior of the solutions of a general nonautonomous Hopfield neural network model with delay, assuming some general bound for the product of consecutive…
Integral conditions for nonuniform -dichotomy on the half-line
António J. G. Bento, Nicolae Lupa, Mihail Megan +1
We give necessary integral conditions and sufficient ones for the existence of a general concept of -dichotomy for evolution operators defined on the half-line which includes as…