Stochastic Functional Differential Equation under Regime Switching
Discrete Dynamics in Nature and Society, 2012 We discuss stochastic functional differential equation under regime switching dx(t)=f(xt,r(t),t)dt+q(r(t))x(t)dW1(t)+σ(r(t))|x(t)|βx(t)dW2(t). We obtain unique global solution of this system without the linear growth condition; furthermore, we prove its ...
Ling Bai, Zhang Kai
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Fitting Bayesian Stochastic Differential Equation Models with Mixed Effects through a Filtering Approach. [PDF]
Multivariate Behav Res, 2023 Chen M, Chow SM, Oravecz Z, Ferrer E.
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Time‐Resolved Magnetization Switching Dynamics Driven by Orbital Torques
Advanced Functional Materials, EarlyView.Du et al. reveal nanosecond magnetization switching driven by orbital currents using time‐resolved Hall detection. The measurements separate domain nucleation from domain wall propagation and show that Joule heating strongly assists switching by lowering energy barriers.
Ao Du +4 more
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Fractional Stochastic Differential Equation Approach for Spreading of Diseases. [PDF]
Entropy (Basel), 2022 Lima LDS.
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Advanced Functional Materials, EarlyView.Ferroelectric domain variants that are energetically equivalent are expected to remain preserved during polarization reversal. However, phase‐field simulations reveal that inclined domain walls in relaxor ferroelectrics can undergo irreversible elimination during alternating current poling through a proximity effect driven by long‐range elastic ...
Yuan‐Jie Sun +2 more
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Monte Carlo Simulation of Stochastic Differential Equation to Study Information Geometry. [PDF]
Entropy (Basel), 2022 Thiruthummal AA, Kim EJ.
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Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application
Advanced Materials, EarlyView.This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong +12 more
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Large deviation principle for a stochastic Allen--Cahn equation [PDF]
, 2018 . In this paper we consider the Allen–Cahn equation perturbed by a stochastic flux term and prove a large deviation principle. Using an associated stochastic flow of diffeomorphisms the equation can be transformed to a parabolic partial differential ...
Heida, Martin, Röger, Matthias
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About a Problem of Stabilization by Noise for a System of Linear Differential Equations
AxiomsThe well-known effect of stabilization by noise for Ito’s scalar linear stochastic differential equation was proven by R.Z. Khasminskii more than 50 years ago. Here, a similar statement is obtained for a system of linear stochastic differential equations.
Leonid Shaikhet
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Source time functions of earthquakes based on a stochastic differential equation. [PDF]
Sci Rep, 2022 Hirano S.
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