Results 61 to 70 of about 4,980,537 (374)

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

Open 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

Avalanches, branching ratios, and clustering of attractors in Random Boolean Networks and in the segment polarity network of \emph{Drosophila} [PDF]

, 2008
We discuss basic features of emergent complexity in dynamical systems far from equilibrium by focusing on the network structure of their state space.
Berdahl, Andrew, Davidsen, Joern, Paczuski, Maya, Shreim, Amer, Sood, Vishal   +4 more
core   +1 more source

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

Electronic 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

Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise

, 2015
In this paper, we first present some conditions for bounding the fractal dimension of a random invariant set of a non-autonomous random dynamical system on a separable Banach space.
Shengfan Zhou, Min Zhao
semanticscholar   +1 more source

Asymptotic behaviour of random tridiagonal Markov chains in biological applications

, 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, A. Leizarowitz, B. Noble, B. S. Thomson, D. J. Hartfiel, D. J. Hartfiel, D. N. Cheban, D. Wodarz, E. Asarin, H. Cohn, I. Chueshov, I. Chueshov, J. Wolfowitz, J.-P. Aubin, L. Arnold, L. J. S. Allen, M. A. Krasnosel$'$skij, M. F. Barnsley, M. Neumann, P. E. Kloeden, P. Imkeller, P. J. Bushell   +21 more
core   +1 more source

Central limit theorem for a class of globally correlated random variables [PDF]

, 2016
The standard central limit theorem with a Gaussian attractor for the sum of independent random variables may lose its validity in presence of strong correlations between the added random contributions.
Budini, Adrian A.
core   +2 more sources

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

Population 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

Random exponential attractor for a class of non-autonomous stochastic lattice systems

Electronic Research Archive
The purpose of this paper was to discuss the existence of a random exponential attractor for non-autonomous coupled Klein-Gordon-Schrödinger (KGS) lattice equations with multiplicative noise. We employed the method of estimation on the tails of solutions
Ailing Ban
doaj   +1 more source

A fully CMOS true random number generator based on hidden attractor hyperchaotic system

Nonlinear dynamics, 2020
Low-power devices used in Internet-of-things networks have been short of security due to the high power consumption of random number generators. This paper presents a low-power hyperchaos-based true random number generator, which is highly recommended ...
Ngoc-Hung Nguyen, Georges Kaddoum, Fabio Pareschi, R. Rovatti, G. Setti   +4 more
semanticscholar   +1 more source

Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors

Population Ecology, EarlyView.
Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley   +1 more source