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AVERAGING PRINCIPLE FOR STOCHASTIC DYNAMICAL SYSTEMS
, 2022 The theory of averaging, originated by Laplace and Lagrange, has beenapplied in its long history in many fields as, for example, celestial mechanics, oscillation theory and radio physics, and for a long period it has been used without a rigorous mathematical justification.
Zhu, Yichun
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Macroeconomic forecasting using model averaging [PDF]
, 2009 PhDRecently, there has been a broadening concern on forecasting techniques that are applied on large data sets, since economists in business and management want to deal with the great magnitude of information. In this analysis, the issue of forecasting
Verra, Christina
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The average enzyme principle [PDF]
FEBS Letters, 2013 The Michaelis–Menten equation for an irreversible enzymatic reaction depends linearly on the enzyme concentration. Even if the enzyme concentration changes in time, this linearity implies that the amount of substrate depleted during a given time interval depends only on the average enzyme concentration.
Reznik, Ed +2 more
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Averaging Principles for Markovian Models of Plasticity [PDF]
Journal of Statistical Physics, 2021 Mathematical models of biological neural networks are associated to a rich and complex class of stochastic processes. In this paper, we consider a simple {\em plastic} neural network whose {\em connectivity/synaptic strength} $(W(t))$ depends on a set of activity-dependent processes to model {\em synaptic plasticity}, a well-studied mechanism from ...
Robert, Philippe, Vignoud, Gaëtan
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Moderate Averaged Deviations for a Multi-Scale System with Jumps and Memory
Dynamics, 2023 This work studies a two-time-scale functional system given by two jump diffusions under the scale separation by a small parameter ε→0. The coefficients of the equations that govern the dynamics of the system depend on the segment process of the slow ...
André de Oliveira Gomes, Pedro Catuogno
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An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations
Journal of Mathematics, 2021 In this paper, we want to establish an averaging principle for Mckean–Vlasov-type Caputo fractional stochastic differential equations with Brownian motion.
Weifeng Wang +3 more
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Averaging Principle for a Class of Time-Fractal-Fractional Stochastic Differential Equations
Fractal and Fractional, 2022 In this paper, we study a class of time-fractal-fractional stochastic differential equations with the fractal–fractional differential operator of Atangana under the meaning of Caputo and with a kernel of the power law type.
Xiaoyu Xia, Yinmeng Chen, Litan Yan
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Averaging principle for two-time-scale stochastic differential equations with correlated noise
Open Mathematics, 2022 This article is devoted to studying the averaging principle for two-time-scale stochastic differential equations with correlated noise. By the technique of multiscale expansion of the solution to the backward Kolmogorov equation and consequent ...
Jiang Tao, Liu Yancai
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Noise-Induced Aggregation of Swimmers in the Kolmogorov Flow
Frontiers in Physics, 2022 We investigate a model for the dynamics of ellipsoidal microswimmers in an externally imposed, laminar Kolmogorov flow. Through a phase-space analysis of the dynamics without noise, we find that swimmers favor either cross-stream or rotational drift ...
Simon A. Berman +4 more
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Stochastic averaging principle for distribution dependent stochastic differential equations [PDF]
, 2022 Due to the intrinsic link with (kinetic) nonlinear Fokker-Planck equations and many diverse applications, distribution dependent stochastic differential equations have been investigated intensively in recent years.
Jiang-lun Wu, Jie Song, Guangjun Shen
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