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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Regularity of pullback attractors and equilibrium for non-autonomous stochastic FitzHugh-Nagumo system on unbounded domains [PDF]
, 2014 Wenqiang Zhao, Anhui Gu
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
Discrete & Continuous Dynamical Systems - B, 2019 For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
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Tipping points induced by parameter drift in an excitable ocean model. [PDF]
Sci Rep, 2021 Pierini S, Ghil M.
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A Lyapunov function for pullback attractors of nonautonomous differential equations
Electronic Journal of Differential Equations, 2000 The contruction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by ...
Peter E. Kloeden
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Periodic Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Domains
, 2012 This paper is concerned with the asymptotic behavior of solutions of the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Wang, Bixiang
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Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator
Studies in Applied MathematicsABSTRACTIn this paper, we consider the asymptotic behavior of weak solutions for nonclassical nonautonomous diffusion equations with a delay operator in time‐dependent spaces when the nonlinear function satisfies subcritical exponent growth conditions, the delay operator contains some hereditary characteristics, and the external force .
Bin Yang +3 more
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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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Weak pullback attractors for damped stochastic fractional Schrödinger equation on $\mathbb{R}^n [PDF]
Ao Zhang +3 more
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