Complex nonlinear dynamics and vibration suppression of conceptual airfoil models: A state-of-the-art overview
During the past few decades, several significant progresses have been made in exploring
complex nonlinear dynamics and vibration suppression of conceptual aeroelastic airfoil …
complex nonlinear dynamics and vibration suppression of conceptual aeroelastic airfoil …
[HTML][HTML] Stochastic averaging for stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
In this paper, an averaging principle for multidimensional, time dependent, stochastic
differential equations (SDEs) driven by fractional Brownian motion and standard Brownian …
differential equations (SDEs) driven by fractional Brownian motion and standard Brownian …
Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
G Shen, J Xiang, JL Wu - Journal of Differential Equations, 2022 - Elsevier
In this paper, we study distribution dependent stochastic differential equations driven
simultaneously by fractional Brownian motion with Hurst index H> 1 2 and standard …
simultaneously by fractional Brownian motion with Hurst index H> 1 2 and standard …
Responses of stochastic dynamical systems by the generalized cell mapping method with deep learning
Experimental data is often corrupted by measurement noise in practical engineering and
there are multiple observed data under the same experimental condition. The noisy …
there are multiple observed data under the same experimental condition. The noisy …
Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion
In this paper, we are concerned with the stochastic averaging principle for stochastic
differential equations (SDEs) with non-Lipschitz coefficients driven by fractional Brownian …
differential equations (SDEs) with non-Lipschitz coefficients driven by fractional Brownian …
Averaging principle for fast-slow system driven by mixed fractional Brownian rough path
This paper is devoted to studying the averaging principle for a fast-slow system of rough
differential equations driven by mixed fractional Brownian rough path. The fast component is …
differential equations driven by mixed fractional Brownian rough path. The fast component is …
Lévy noise-induced stochastic resonance in a bistable system
The stochastic resonance phenomenon induced by Lévy noise in a second-order and under-
damped bistable system is investigated. The signal-to-noise ratio for different parameters is …
damped bistable system is investigated. The signal-to-noise ratio for different parameters is …
[HTML][HTML] Strong convergence in averaging principle for stochastic hyperbolic–parabolic equations with two time-scales
H Fu, L Wan, J Liu - Stochastic Processes and their Applications, 2015 - Elsevier
This article deals with averaging principle for stochastic hyperbolic–parabolic equations with
slow and fast time-scales. Under suitable conditions, the existence of an averaging equation …
slow and fast time-scales. Under suitable conditions, the existence of an averaging equation …
Approximation properties for solutions to Itô–Doob stochastic fractional differential equations with non-Lipschitz coefficients
M Abouagwa, J Li - Stochastics and Dynamics, 2019 - World Scientific
In this paper, we are concerned with the approximation theorem as an averaging principle
for the solutions to stochastic fractional differential equations of Itô–Doob type with non …
for the solutions to stochastic fractional differential equations of Itô–Doob type with non …
The existence and averaging principle for stochastic fractional differential equations with impulses
J Zou, D Luo, M Li - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
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 …
considered. By virtue of Mönch's fixed point theorem and Banach contraction principle, we …