Results 31 to 40 of about 5,099,046 (357)
Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise
Open Mathematics, 2016 In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
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Global attractors for multivalued random dynamical systems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2002 We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour of some multivalued stochastic parabolic equations by generalizing the concept of global random attractor to the case of a MRDS.
Caraballo Garrido, Tomás +2 more
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Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations
Journal of Applied Mathematics, 2011 We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.
Jie Xin, Hong Lu
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AIMS Mathematics, 2022 In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise.
Xintao Li
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, 2018 In this paper, we first establish some sufficient conditions for the existence and construction of a random exponential attractor for a continuous cocycle on a separable Banach space.
Zhaojuan Wang, Shengfan Zhou
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Attractors via random perturbations [PDF]
Communications in Mathematical Physics, 1989 We discuss conditions which ensure that weak limits of invariant measures of small random perturbations of dynamical systems have their supports on attractors.
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Fractal and Fractional, 2022 In this paper, we consider the backward asymptotically autonomous dynamical behavior for fractional non-autonomous nonclassical diffusion equations driven by a Wong–Zakai approximations process in Hs(Rn) with s∈(0,1).
Hong Li, Fuzhi Li
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Additive noise destroys the random attractor close to bifurcation [PDF]
, 2016 We provide an example for stabilization by noise. Due to the presence of higher order differential operators our approach does not rely on monotonicity arguments, i.e. the preserved order of solutions.
L. Bianchi, D. Blömker, Meihua Yang
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AIMS Mathematics, 2021 In this paper, we consider the asymptotic behavior of solutions to stochastic strongly damped wave equations with variable delays on unbounded domains, which is driven by both additive noise and deterministic non-autonomous forcing.
Li Yang
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Criteria for Strong and Weak Random Attractors [PDF]
Journal of Dynamics and Differential Equations, 2009 The theory of random attractors has different notions of attraction, amongst them pullback attraction and weak attraction. We investigate necessary and sufficient conditions for the existence of pullback attractors as well as of weak attractors.
Crauel, Hans +2 more
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