Results 81 to 90 of about 4,980,537 (374)
Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices
Discrete Dynamics in Nature and Society, 2012 We prove the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with a multiplicative white noise on infinite lattices.
Anhui Gu, Zhaojuan Wang, Shengfan Zhou
doaj +1 more source
AIMS Mathematics, 2023 We mainly study the existence of random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice system with multiplicative white noise and quasi-periodic forces in weighted spaces.
Rou Lin, Min Zhao, Jinlu Zhang
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Motion of inertial particles in Gaussian fields driven by an infinite-dimensional fractional Brownian motion [PDF]
, 2012 We study the motion of an inertial particle in a fractional Gaussian random field. The motion of the particle is described by Newton's second law, where the force is proportional to the difference between a background fluid velocity and the particle ...
Schöchtel, Georg
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Regulatory Dynamics on Random Networks: Asymptotic Periodicity and Modularity
, 2008 We study the dynamics of discrete-time regulatory networks on random digraphs. For this we define ensembles of deterministic orbits of random regulatory networks, and introduce some statistical indicators related to the long-term dynamics of the system ...
A Cros +10 more
core +4 more sources
Attractors and time averages for random maps
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2000 Considering random noise in finite dimensional parameterized families of diffeomorphisms of a compact finite dimensional boundaryless manifold M , we show the existence of time averages for almost every orbit of each point of M ...
openaire +5 more sources
Cell‐free DNA aneuploidy score as a dynamic early response marker in prostate cancer
Molecular Oncology, EarlyView.mFast‐SeqS‐based genome‐wide aneuploidy scores are concordant with aneuploidy scores obtained by whole genome sequencing from tumor tissue and can predict response to ARSI treatment at baseline and, at an early time point, to ARSI and taxanes. This assay can be easily performed at low cost and requires little input of cfDNA. Cell‐free circulating tumor
Khrystany T. Isebia +17 more
wiley +1 more source
Existence of Random Attractors for a p-Laplacian-Type Equation with Additive Noise
Abstract and Applied Analysis, 2011 We first establish the existence and uniqueness of a solution for a stochastic p-Laplacian-type equation with additive white noise and show that the unique solution generates a stochastic dynamical system. By using the Dirichlet forms of Laplacian and an
Wenqiang Zhao, Yangrong Li
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Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
wiley +1 more source
Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces
International Journal of Differential Equations, 2011 We study stochastic partly dissipative lattice systems with random coupled coefficients and multiplicative/additive white noise in a weighted space of infinite sequences.
Xiaoying Han
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Frontiers in Computational Neuroscience, 2012 We describe an attractor network of binary perceptrons receiving inputs from a retinotopicvisual feature layer. Each class is represented by a random subpopulation of the attractor layer,which is turned on in a supervised manner during learning of the ...
Yali eAmit, Jacob eWalker
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