In this work we study the global dynamics of an evolution equation for neural fields, where
the flow generated by this equation in the phase space L2 (S1), is C1. Furthermore we …

In this work we prove the existence of a compact global attractor for the flow of the
equation∂ m (r, t)∂ t=− m (r, t)+ J∗(f◦ m)(r, t)+ h, h,> 0, in L2 (S1). We also give uniform …

In this work we consider the nonlocal evolution equation∂ u (x, t)∂ t=− u (x, t)+ tanh (βJ∗ u
(x, t)+ h) which arises in models of phase separation. We prove the existence of a compact …

1 Introduction Page 1 Matemática Contemporânea, Vol 36, 139-153 c 2009, Sociedade
Brasileira de Matemática GLOBAL ATTRACTORS FOR NEURAL FIELDS IN A WEIGHTED …

\noindent Electronic Journal of Differential Equations , Vol . 20 1 0 ( 201 0 ) , No . 1 38 , pp . 1
−− \noindent ISSN : 1 7 Page 1 \noindent Electronic Journal of Differential Equations , Vol . 20 …

Existence of global attractors and gradient property for a class of non local evolution equations
Page 1 Sao Paulo Journal of Mathematical Sciences 2, 1 (2008), 1–20 Existence of global …

CONTINUITY OF GLOBAL ATTRACTORS FOR A CLASS OF NON LOCAL EVOLUTION
EQUATIONS Antônio Luiz Pereira Severino Horácio da Silva (C Page 1 DISCRETE AND …

In this paper, we are concerned with some aspects of the asymptotic behavior of the
dynamical system generated by evolution equations with nonlocal terms of the type where …

In this paper we consider the following nonlinear and spatially nonlocal second-order
evolution equation from nonlocal theory of continuum mechanics where is a bounded …

Neste trabalho consideramos uma equação de evolução não local com convolução e
provamos a existência de um atrator global para o fluxo gerado por esta equação. Além …