443 citations · 1.2k across the 25 of their papers we have counts for
10 papers · 1 filter
Sigmoidal approximations of a nonautonomous neural network with infinite delay and Heaviside function
Peter E. Kloeden, V. M. Villarragut
In this paper, we approximate a nonautonomous neural network with infinite delay and a Heaviside signal function by neural networks with sigmoidal signal functions. We show that th…
Random attractors of a stochastic Hopfield neural network model with delays
Wenjie Hu, Quanxin Zhu, Peter E. Kloeden
The global asymptotic behavior of a stochastic Hopfield neural network model (HNNM) with delays is explored by studying the existence and structure of random attractors. It is firs…
Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions
Huy Huy, Peter E. Kloeden, Christian Pötzsche
In theoretical ecology, models describing the spatial dispersal and the temporal evolution of species having non-overlapping generations are often based on integrodifference equati…
Numerical Dynamics of Integrodifference Equations: Forward Dynamics and Pullback Attractors
Huy Huynh, Peter E. Kloeden, Christian Pötzsche
In order to determine the dynamics of nonautonomous equations both their forward and pullback behavior need to be understood. For this reason we provide sufficient criteria for the…
Strong -continuity in initial data of nonlinear reaction-diffusion equation in any space dimension
Hongyong Cui, Peter E. Kloeden, Wenqiang Zhao
In this paper, we study the continuity in initial data of a classical reaction-diffusion equation with arbitrary order nonlinearity and in any space dimension . It i…
Asymptotic behaviour of dynamical systems with plastic self-organising vector fields
N. B. Janson, P. E. Kloeden
In [Janson & Marsden 2017] a dynamical system with a plastic self-organising velocity vector field was introduced, which was inspired by the architectural plasticity of the brain a…