5 citations · 8 across the 5 of their papers we have counts for
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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…
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…
Nonuniform dichotomic behavior: Lipschitz invariant manifolds for difference equations
António J. G. Bento, César M. Silva
We obtain global and local theorems on the existence of invariant manifolds for perturbations of non autonomous linear difference equations assuming a very general form of dichotom…
Nonuniform -dichotomies and local dynamics of difference equations
António J. G. Bento, César M. Silva
We obtain a local stable manifold theorem for perturbations of nonautonomous linear difference equations possessing a very general type of nonuniform dichotomy, possibly with diffe…