Results 31 to 40 of about 4,980,388 (235)
Random Attractor of Reaction-Diffusion Hopfield Neural Networks Driven by Wiener Processes
, 2018 This paper studies the global existence and uniqueness of the mild solution for reaction-diffusion Hopfield neural networks (RDHNNs) driven by Wiener processes by applying a Schauder fixed point theorem and a priori estimate; then the random attractor ...
Xiao Liang, Linshan Wang, Ruili Wang
semanticscholar +1 more source
The random case of Conley's theorem
, 2005 The well-known Conley's theorem states that the complement of chain recurrent set equals the union of all connecting orbits of the flow $\phi$ on the compact metric space $X$, i.e.
Arnold L +12 more
core +3 more sources
Connectedness of random set attractors [PDF]
, 2017 Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence
Scheutzow, Michael, Vorkastner, Isabell
core +2 more sources
Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain
Journal of Inequalities and Applications, 2016 In this paper, we first study the deterministic Swift-Hohenberg equation on a bounded domain. After obtaining some a priori estimates by the uniform Gronwall inequality, we prove the existence of an attractor by the Sobolev compact embeddings.
CX Guo, YY Chen, YF Guo
doaj +1 more source
Random attractor for stochastic non-autonomous damped wave equation with critical exponent
, 2016 In this paper, we prove the existence of random attractor and obtainan upper bound of fractal dimension of random attractor forstochastic non-autonomous damped wave equation with criticalexponent and additive white noise.
Zhaojuan Wang, Shengfan Zhou
semanticscholar +1 more source
Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains
Abstract and Applied Analysis, 2013 This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
doaj +1 more source
Asymptotic behavior of plate equations with memory driven by colored noise on unbounded domains
AIMS Mathematics, 2022 The paper investigates mainly the asymptotic behavior of the non-autonomous random dynamical systems generated by the plate equations with memory driven by colored noise defined on $ \mathbb{R}^n $. Firstly, we prove the well-posedness of the equation in
Xiao Bin Yao, Chan Yue
doaj +1 more source
, 2017 In this paper, we consider the stochastic higher-order Kirchhoff-type equation with nonlinear strongly dissipation and white noise. We first deal with random term by using Ornstein-Uhlenbeck process and establish the wellness of the solution, then the ...
Guoguang Lin, Ling Chen, Wei Wang
semanticscholar +1 more source
Model of phenotypic evolution in hermaphroditic populations [PDF]
, 2013 We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals.
Rudnicki, Ryszard, Zwoleński, Paweł
core +2 more sources
Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
doaj +1 more source