Results 21 to 30 of about 6,510,742 (297)
Averaging principle for stochastic complex Ginzburg-Landau equations [PDF]
Journal of Differential Equations, 2022 Averaging principle is an effective method for investigating dynamical systems with highly oscillating components. In this paper, we study three types of averaging principle for stochastic complex Ginzburg-Landau equations.
Meng-Bi Cheng, Zhenxin Liu, M. Röckner
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Symmetry, 2023 In this paper, we study the averaging principle for ψ-Capuo fractional stochastic delay differential equations (FSDDEs) with Poisson jumps. Based on fractional calculus, Burkholder-Davis-Gundy’s inequality, Doob’s martingale inequality, and the Ho¨lder ...
Dandan Yang, Jingfeng Wang, C. Bai
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The averaging principle for stochastic differential equations driven by a Wiener process revisited
Comptes Rendus. Mathématique, 2022 We consider a one-dimensional stochastic differential equation driven by a Wiener process, where the diffusion coefficient depends on an ergodic fast process.
Bréhier, Charles-Edouard
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The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2021 In this paper, we establish the second Bogolyubov theorem and global averaging principle for stochastic partial differential equations (in short, SPDEs) with monotone coefficients.
Meng-Bi Cheng, Zhenxin Liu
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Averaging principle for two time-scale regime-switching processes [PDF]
Electronic Journal of Probability, 2022 This work studies the averaging principle for a fully coupled two time-scale system, whose slow process is a diffusion process and fast process is a purely jumping process on an infinitely countable state space.
Y. Mao, J. Shao
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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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Averaging principle for the one-dimensional parabolic equation driven by stochastic measure
Modern Stochastics: Theory and Applications, 2022 A stochastic parabolic equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure is considered. The averaging principle for the equation is established. The convergence rate is compared with other results on related topics.
Boris Manikin
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The existence and averaging principle for stochastic fractional differential equations with impulses
Mathematical methods in the applied sciences, 2022 In this paper, a class of fractional stochastic differential equations (SFDEs) with impulses is considered. By virtue of Mönch's fixed point theorem and Banach contraction principle, we explore the existence and uniqueness of solutions to the addressed ...
Jingwu Zou, Danfeng Luo, Mengmeng Li
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Uncertainty Principle of Signal-Averaged Electrocardiography [PDF]
Circulation, 2000 Background —Signal-averaged ECG (SAECG) reproducibility is reported to have a component that is independent of residual noise. Methods and Results —In group 1, multiple paired SAECGs were obtained to noise levels of 0.3±0.1 and 0.5±0.2 μV.
J J, Goldberger +6 more
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