2 citations · 2 across the 8 of their papers we have counts for
9 papers
Admissibility and generalized nonuniform dichotomies for nonautonomous Random Dynamical Systems
Davor Dragicevic, Cesar M. Silva, Helder Vilarinho
In this paper, we introduce generalized dichotomies for nonautonomous random linear dynamical systems acting on arbitrary Banach spaces, and obtain their complete characterization…
On the stability of
Mario Bessa, Helder Vilarinho
Our main goal is to understand the stability of second order linear homogeneous differential equations for -generic values of the variabl…
Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters
Dinis Amaro, Mario Bessa, Helder Vilarinho
In the present paper we prove that densely, with respect to an -like topology, the Lyapunov exponents associated to linear continuous-time cocycles $Φ:\mathbb{R}\times M\to \t…
Genericity of trivial Lyapunov spectrum for Lp-cocycles derived from second order linear homogeneous differential equations
Dinis Amaro, Mario Bessa, Helder Vilarinho
Given an ergodic flow defined on a probability space we study a family of continuous-time kinetic linear cocycles associated to the solutions of the…
Dynamics of a discrete eco-epidemiological model with disease in the prey
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
Using Mickens nonstandard method, we obtain a discrete family of nonautonomous eco-epidemiological models that include general functions corresponding to the predation of the infec…
Random perturbations of an eco-epidemiological model
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
We consider random perturbations of a general eco-epidemiological model. We prove the existence of a global random attractor, the persistence of susceptibles preys and provide cond…
Periodic orbits for periodic eco-epidemiological systems with infected prey
L. de Jesus, C. M. Silva, H. Vilarinho
We address the existence of periodic orbits for periodic eco-epidemiological system with disease in the prey. To do it, we consider three main steps. Firstly we study a one paramet…
An eco-epidemiological model with general functional response of predator to prey
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
We consider a nonautonomous eco-epidemiological model with general functions for predation on infected and uninfected preys as well as general functions associated to the vital dyn…
Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
Mario Bessa, Helder Vilarinho
In this paper we generalize [3] and prove that the class of accessible and saddle-conservative cocycles (a wide class which includes cocycles evolving in GL(d,R), SL(d,R) and Sp(d,…