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 …
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 …
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 …
Averaging principle for stochastic differential equations with monotone condition
Z Guo, Y Xu, W Wang, J Hu - Applied Mathematics Letters, 2022 - Elsevier
In this paper, we consider the averaging principle for a class of stochastic differential
equations (SDEs) with the nonlinear terms only satisfying the local Lipschitz and monotone …
equations (SDEs) with the nonlinear terms only satisfying the local Lipschitz and monotone …
Stochastic averaging principle for distribution dependent stochastic differential equations
G Shen, J Song, JL Wu - Applied Mathematics Letters, 2022 - Elsevier
Due to the intrinsic link with (kinetic) nonlinear Fokker–Planck equations and many diverse
applications, distribution dependent stochastic differential equations have been investigated …
applications, distribution dependent stochastic differential equations have been investigated …
Two-time-scale stochastic differential delay equations driven by multiplicative fractional Brownian noise: Averaging principle
The main goal of this article is to study an averaging principle for a class of two-time-scale
stochastic differential delay equations in which the slow-varying process includes a …
stochastic differential delay equations in which the slow-varying process includes a …
Optimal index and averaging principle for Itô–Doob stochastic fractional differential equations
W Wang, Z Guo - Stochastics and Dynamics, 2022 - World Scientific
In this paper, a class of Itô–Doob stochastic fractional differential equations (Itô–Doob
SFDEs) models are discussed. Using the time scale transformation method, we consider the …
SFDEs) models are discussed. Using the time scale transformation method, we consider the …
Averaging principle for a class of time-fractal-fractional stochastic differential equations
X Xia, Y Chen, L Yan - Fractal and Fractional, 2022 - mdpi.com
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 …
the fractal–fractional differential operator of Atangana under the meaning of Caputo and with …
Stochastic averaging for a type of fractional differential equations with multiplicative fractional Brownian motion
This paper focuses on the averaging principle of Caputo fractional stochastic differential
equations (SDEs) with multiplicative fractional Brownian motion (fBm), where Hurst …
equations (SDEs) with multiplicative fractional Brownian motion (fBm), where Hurst …
Stochastic averaging for the non-autonomous mixed stochastic differential equations with locally Lipschitz coefficients
R Wang, Y Xu, H Yue - Statistics & Probability Letters, 2022 - Elsevier
This paper investigates a non-autonomous slow–fast system, which is generalized by
stochastic differential equations with locally Lipschitz coefficients, subjected to standard …
stochastic differential equations with locally Lipschitz coefficients, subjected to standard …