This review paper treats the dynamics of non-autonomous dynamical systems. To study the
forwards asymptotic behaviour of a non-autonomous differential equation we need to …

In this paper, we study in detail the structure of the global attractor for the Lotka–Volterra
system with a Volterra–Lyapunov stable structural matrix. We consider the invasion graph as …

In this work we study the continuity and structural stability of the uniform attractor associated
with non-autonomous perturbations of differential equations. By a careful study of the …

In this paper we deal with Lipschitz continuous perturbations of gradient Morse-Smale
semigroups (all critical elements are equilibria). We study the permanence of connections …

In this paper we study in detail the structure of the global attractor for a generalized Lotka-
Volterra system with Volterra--Lyapunov stable structural matrix. We provide the full …

In this paper we study the asymptotic behavior of solutions for a non-local non-autonomous
scalar quasilinear parabolic problem in one space dimension. Our aim is to give a fairly …

We exhibit a class of singularly perturbed parabolic problems which the asymptotic behavior
can be described by a system of ordinary differential equation. We estimate the convergence …

In this paper we study the asymptotic nonlinear dynamics of scalar semilinear parabolic
problems of reaction-diffusion type when the diffusion coefficient becomes large in a …

In this work we will study the structure of the skew-product attractor for a planar diffusively
coupled ordinary differential equation, given by x= k (yx)+ x-β (t) x³ and y= k (xy)+ y-β (t) y³ …

Pullback attractors with forwards unbounded behaviour are to be found in the literature, but
not much is known about pullback attractors with each and every section being unbounded …