Focus point on uncertainty quantification of modeling and simulation in physics and related areas: from theoretical to computational techniques. [PDF]
Eur Phys J Plus, 2023 Cortés JC, Caraballo T, Pinto CMA.
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Pullback and uniform exponential attractors for non-autonomous Oregonator systems
Open MathematicsWe consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
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Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]
J Dyn Differ Equ, 2022 Huynh H, Kloeden PE, Pötzsche C.
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Pullback attractors for fractional lattice systems with delays in weighted space
Open MathematicsThis article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
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Periodic random attractors for stochastic Navier-Stokes equations on unbounded domains
Electronic Journal of Differential Equations, 2012 This article concerns the asymptotic behavior of solutions to the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Bixiang Wang
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Results in Applied MathematicsThis paper investigates the well-posedness and long-time dynamics of a class of fractional non-autonomous beam equations with fractional rotational inertia and structural damping or strong damping.
Penghui Lv, Jingxin Lu, Guoguang Lin
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Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise
Abstract and Applied Analysis, 2014 Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R.
Yangrong Li, Hongyong Cui
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Generic generation of noise-driven chaos in stochastic time delay systems: Bridging the gap with high-end simulations. [PDF]
Sci Adv, 2022 Chekroun MD, Koren I, Liu H, Liu H.
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High-Dimensional Phase Space Reconstruction with a Convolutional Neural Network for Structural Health Monitoring. [PDF]
Sensors (Basel), 2021 Chen YL +6 more
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Electronic Journal of Differential Equations, 2014 The existence of a pullback attractor is established for a stochastic p-Laplacian equation on $\mathbb{R}^n$. Furthermore, the limiting behavior of random attractors of the random dynamical systems as stochastic perturbations approach zero is studied ...
Jia Li, Yangrong Li, Hongyong Cui
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