443 citations · 1.2k across the 25 of their papers we have counts for
26 papers
Fokker-Planck equation for stochastic heat equations
Qingyan Meng, Jinqiao Duan, Jinlong Wei +1
This work is devoted to the study of the Fokker--Planck equation for a stochastic heat equation with an additive -Wiener noise and non-homogeneous boundary conditions. We explic…
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…
Strong order-one convergence of the Euler method for random ordinary differential equations driven by semi-martingale noises
Peter E. Kloeden, Ricardo M. S. Rosa
It is well known that the Euler method for a random ordinary differential equation driven by a stochastic process with -…
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…