Results 301 to 310 of about 5,099,046 (357)

On smooth approximation for random attractor of stochastic partial differential equations with multiplicative noise

Stochastics and Dynamics, 2017
Wong–Zakai type approximation for stochastic partial differential equations (abbreviate as PDEs) is well studied. Besides the polygonal approximation, a type of smooth noise approximation is considered. After showing the existence of random attractor for
Hongbo Fu, Xianming Liu, Jicheng Liu, Xiangjun Wang   +3 more
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Random Point Attractors Versus Random Set Attractors

Journal of the London Mathematical Society, 2001
Summary: The notion of an attractor for a random dynamical system with respect to a general collection of deterministic sets is introduced. This comprises, in particular, global point attractors and global set attractors. After deriving a necessary and sufficient condition for existence of the corresponding attractors it is proved that a global set ...
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Attractors for random dynamical systems

Probability Theory and Related Fields, 1994
Random dynamical systems are treated, the notions of an omega limit set, a random invariant set, an absorbing set and a global attractor are introduced. Conditions are given under which a global attractor (being a compact random invariant set) exists, and some of its properties are established.
FLANDOLI FRANCO, Hans Crauel
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Morse decompositions of uniform random attractors

Journal of Differential Equations, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaofang Lin, Caibin Zeng
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Random Perturbations of Heteroclinic Attractors

SIAM Journal on Applied Mathematics, 1990
Estimates are derived for the mean recurrence time of orbits in the neighborhood of an attracting homoclinic orbit or heteroclinic cycle in an ordinary differential equation, subject to small additive random noise. The theory presented is illustrated with numerical simulations of several systems, including ones invariant under symmetry groups, for ...
Emily Stone, Philip Holmes
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Random attractors of stochastic non-newtonian fluids

Acta Mathematicae Applicatae Sinica, English Series, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Chun-xiao, Guo, Bo-ling, Han, Yong-qian   +2 more
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Numerical Approximation of Random Attractors

2007
In this article an algorithm for the numerical approximation of random attractors based on the subdivision algorithm of Dellnitz and Hohmann is presented. It is applied to the stochastic Duffing-van der Pol oscillator, for which we also prove a theoretical result on the existence of stable/unstable manifolds and attractors. This system serves as a main
Hannes Keller, Gunter Ochs
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Random Attractor, Invariant Measures, and Ergodicity of Lattice p-Laplacian Equations Driven by Superlinear Noise

Journal of Geometric Analysis, 2023
Pengyu Chen, M. Freitas, Xuping Zhang
semanticscholar   +1 more source

Several Continuities of a Pullback Random Attractor for Stochastic Non-Autonomous Zakharov Lattice Equations

Qualitative Theory of Dynamical Systems, 2023
Yangrong Li, Lin Zhang
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Random Attractor Associated with the Quasi-Geostrophic Equation

, 2013
We study the long time behavior of the solutions to the 2D stochastic quasi-geostrophic equation on $${\mathbb {T}}^2$$T2 driven by additive noise and real linear multiplicative noise in the subcritical case (i.e.
Rongchan Zhu, Xiangchan Zhu
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