Results 31 to 40 of about 44,947 (219)

Invariant measures and random attractors of stochastic delay differential equations in Hilbert space

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also ...
Shangzhi Li, Shangjiang Guo
doaj   +1 more source

Existence of random attractors and the upper semicontinuity for small random perturbations of 2D Navier-Stokes equations with linear damping

open access: yesOpen Mathematics, 2021
The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
doaj   +1 more source

Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems

open access: yesWasit Journal for Pure Sciences
The 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

Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

open access: yesBulletin of Mathematical Sciences, 2021
This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
doaj   +1 more source

Random Attractor for Stochastic Wave Equation with Arbitrary Exponent and Additive Noise on $\mathbb{R}^n$ [PDF]

open access: yes, 2014
Asymptotic random dynamics of weak solutions for a damped stochastic wave equation with the nonlinearity of arbitrarily large exponent and the additive noise on $\mathbb{R}^n$ is investigated.
Li, Hongyan, You, Yuncheng
core   +1 more source

occumb: An R package for site occupancy modeling of eDNA metabarcoding data

open access: yesPopulation Ecology, EarlyView.
This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
wiley   +1 more source

Asymptotic behaviour of random tridiagonal Markov chains in biological applications

open access: yes, 2012
Discrete-time discrete-state random Markov chains with a tridiagonal generator are shown to have a random attractor consisting of singleton subsets, essentially a random path, in the simplex of probability vectors.
A. E. Hutzenthaler   +21 more
core   +1 more source

Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

open access: yesAbstract and Applied Analysis, 2014
We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
doaj   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

open access: yesFEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

Chaotic itinerancy and power-law residence time distribution in stochastic dynamical system

open access: yes, 2005
To study a chaotic itinerant motion among varieties of ordered states, we propose a stochastic model based on the mechanism of chaotic itinerancy. The model consists of a random walk on a half-line, and a Markov chain with a transition probability matrix.
F. Spitzer   +4 more
core   +1 more source

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