Distributed Observers for State Omniscience with Stochastic Communication Noises by Kairui Chen, Zhangmou Zhu, Xianxian Zeng, Junwei Wang

“…Furthermore, using the stability theory of stochastic differential equations, state omniscience is discussed in almost sure sense and in the mean square sense for the cases of state-dependent noises and non-state-dependent noises, respectively. …”
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Moment-Based Stochastic Analysis of a Bistable Energy Harvester with Matching Network by Kailing Song, Michele Bonnin, Fabio L. Traversa, Fabrizio Bonani

“…The mathematical model describing the harvester is a system of stochastic differential equations, where both cases of linear and nonlinear devices are considered. …”
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Impact of Anisotropic Cosmic-Ray Transport on the Gamma-Ray Signatures in the Galactic Center by J. Dörner, J. Becker Tjus, P. S. Blomenkamp, H. Fichtner, A. Franckowiak, E. M. Zaninger

“…We solve the 3D cosmic-ray transport equation with an anisotropic diffusion tensor using the approach of stochastic differential equations as implemented in the CRPropa framework. …”
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Neural SDEs as infinite-dimensional GANs by Kidger, P, Foster, J, Li, X, Oberhauser, H, Lyons, T

“…Stochastic differential equations (SDEs) are a staple of mathematical modelling of temporal dynamics. …”

Dynamic Behavior of an Interactive Mosquito Model under Stochastic Interference by Xingtong Liu, Yuanshun Tan, Bo Zheng

“…This dynamic behavior requires stochastic differential equations to characterize the fate of mosquitoes, which has rarely been considered before. …”
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Mathematical Model of the Laser Gyro Errors by V. N. Enin, V. V. Novikov, P. V. Novikov

“…</p><p>The model is represented by a system of the stochastic differential equations and functional relationships to characterize a resulting error of the sensor. …”
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Multi-Factor Model of Correlated Commodity - Forward Curves for Crude Oil and Shipping Markets by Ellefsen, Per Einar, Sclavounos, Paul D.

“…The model leads to explicit stochastic differential equations governing the short term and long term factors driving the price of the spot commodity under the risk neutral measure. …”
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Stochastic orderings by nonlinear expectations by Ly, Sel

“…Our approach relies on comparison lemmas for forward-backward, and for G-forward-backward stochastic differential equations, and on several extensions of monotonicity, convexity and continuous dependence property for the solutions of associated semilinear parabolic partial differential equations and Hamilton-Jacobi-Bellman-type equations. …”
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Multi-release software model based on testing coverage incorporating random effect (SDE) by Ritu Bibyan, Sameer Anand, Anu G. Aggarwal, Gurjeet Kaur

“…. • The random effect in the testing coverage rate is handled using Stochastic Differential Equations (SDE). • Three testing coverage functions used are Exponential, Weibull, and S-shaped. • Four Releases of the software model has been presented.…”
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Nonlinear stochastic dynamics of an array of coupled micromechanical oscillators by Maria I. Katsidoniotaki, Ioannis Petromichelakis, Ioannis A. Kougioumtzoglou

“…Third, the resulting high‐dimensional, nonlinear system of coupled stochastic differential equations governing the dynamics of the micromechanical array is solved based on the WPI technique for determining the response joint probability density function. …”
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Stochastic modeling of the Monkeypox 2022 epidemic with cross-infection hypothesis in a highly disturbed environment by Asad Khan, Yassine Sabbar, Anwarud Din

“…The proposed model is a two block compartmental system that requires the form of Itô-Lévy stochastic differential equations. Based on some assumptions and nonstandard analytical techniques, two principal asymptotic properties are proved: the eradication and continuation in the mean of Monkeypox 2022. …”
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Data Driven Approach to the Dynamics of Import and Export of G7 Countries by Gianluca Teza, Michele Caraglio, Attilio L. Stella

“…The dynamics of imports plus exports of 226 product classes by the G7 countries between 1962 and 2000 is described in terms of stochastic differential equations. The model allows interesting comparisons among the different economies related to the compositions of the national baskets. …”
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Quantum coherence resonance by Yuzuru Kato, Hiroya Nakao

“…We first demonstrate that quantum coherence resonance occurs in the semiclassical regime, namely, the regularity of the system’s oscillatory response is maximized at an optimal intensity of quantum fluctuations, and interpret this phenomenon by analogy with classical noisy excitable systems using semiclassical stochastic differential equations. This resonance persists under moderately strong quantum fluctuations for which the semiclassical description is invalid. …”
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Lagrangian Stochastic Model for the Motions of Magnetic Footpoints on the Solar Wind Source Surface and the Path Lengths of Boundary-driven Interplanetary Magnetic Field Lines by Gang Li, N. H. Bian

“…The Lagrangian velocity and the positions of magnetic footpoints on the solar wind source surface are obtained from the solutions of a set of stochastic differential equations, which are solved numerically. …”
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Quantum synchronization: insights and applications to quantum information processing by Shen, Yuan

“…Building on a robust theoretical framework encompassing appropriate quantum master equations, quantum stochastic differential equations, and quantum trajectory techniques, this research uncovers genuine quantum phenomena in synchronization, particularly in highly nonlinear quantum oscillators. …”
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Feedback Stabilization of Cyber-Physical Systems for Sampled-Data Control: Synthesizing the Cyber and the Physical With Closed-Loop Interactions by Lirong Huang

“…Inspired by the cyber-physical systems (CPS) of numerical methods for stochastic differential equations, we present a CPS model of sampled-data control systems (typically a synonym for computer control systems), which regards the intersection of the physical and the cyber (the key feature of CPS). …”
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An efficient and spectral accurate numerical method for computing SDE driven by multivariate Gaussian variables by Hongling Xie

“…There are many previous studies on designing efficient and high-order numerical methods for stochastic differential equations (SDEs) driven by Gaussian random variables. …”
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Understanding the Complex Adaptive Characteristics of Cross-Regional Emergency Collaboration in China: A Stochastic Evolutionary Game Approach by Jida Liu, Changqi Dong

“…The stochastic evolutionary game model was constructed, and the existence and stability of the equilibrium solutions of the two kinds of stochastic evolutionary game systems for cross-regional emergency collaboration were verified based on the stability discrimination theorem of stochastic differential equations. We used numerical simulations to simulate the evolution trajectories of the regional integration and the pairing assistance stochastic evolutionary game system. …”
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Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems by Christopher D. Mink, David Petrosyan, Michael Fleischhauer

“…We derive exact stochastic differential equations for processes which cannot be described by the standard DTWA due to the presence of nonclassical noise. …”
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Consentaneous agent-based and stochastic model of the financial markets. by Vygintas Gontis, Aleksejus Kononovicius

“…From this agent-based model we derive a set of stochastic differential equations, which describes underlying macroscopic dynamics of agent population and log price in the financial markets. …”
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