It is well known that the conventional fractional-order neural networks (FONNs) cannot
generate nonconstant periodic oscillation. For this point, this article discusses a class of …

This is the first time that the method for the investigation of unpredictable solutions of
differential equations has been extended to unpredictable oscillations of neural networks …

In this article we give some asymptotic formulae for impulsive differential system with
piecewise constant argument of generalized type (abbreviated IDEPCAG). These formulae …

In this paper we give a uniform approximation of a CNN-Hopfield type impulsive system by
means of an IDEPCA approximating system. As a consequence of the uniform …

In this paper, we consider the continuous Hopfield model with a weak interaction of network
neurons. This model is described by a system of differential equations with linear boundary …

An unpredictable solution is found for a quasilinear differential equation with generalized
piecewise constant argument (EPCAG). Sufficient conditions are provided for the existence …

In this work, we give a version of Grobman–Hartman theorem for the nonautonomous
differential equations with piecewise constant argument of generalized type when the …

In this paper, we study the partial differential equation with piecewise constant argument of
the form: xt (t, s)= A (t) x (t, s)+ B (t, s) x (t, s)+ C (t, s) x (t, s)+ D (t, s) x (t, s)+ f (x (t, s)), t, s∈ …

In the chapter, we explore the presence of alpha unpredictable recurrence within various
models of Hopfield-type neural networks, given as differential equations outlined in …

La llegada de especies invasoras a comunidades nativas impacta en la estructura y el
funcionamiento de los ecosistemas, y se la considera un indicador crucial de la pérdida de …