Results 331 to 340 of about 4,980,537 (374)

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

Qualitative Theory of Dynamical Systems, 2023
Yangrong Li, Lin Zhang
semanticscholar   +1 more source

Boundary approximation of deterministic and random attractors

Nonlinearity, 2005
Summary: A result on the boundary of \(\Omega\)-limit sets, \(\partial\Omega_B \subseteq\Omega_{\partial B}\), is shown and used to prove that boundaries of deterministic and random attractors are covered by \(\Omega\)-limit sets of boundaries of compact sets.
openaire   +3 more sources

The random attractor of the stochastic Lorenz system

Zeitschrift für angewandte Mathematik und Physik, 1997
The definition of the notion of an attractor for a dynamical system of deterministic ordinary differential equations is generalized to apply to random dynamical systems generated by stochastic differential equations. Theorems are proved establishing criteria for existence and uniqueness of these random attractors and establishing an upper bound for the
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Stochastic Synchronization of Random Pullback Attractors

2020
In this and in the next chapter we deal with the synchronization of random dynamical systems (RDS). The concept of RDS (see Arnold [4] and the literature cited therein) covers the most important families of dynamical systems with randomness, including random and stochastic ordinary and partial differential equations and random difference equations ...
Björn Schmalfuß, Igor Chueshov
openaire   +2 more sources

Measure attractors and random attractors for stochastic partial differential equations

Stochastic Analysis and Applications, 1999
In the theory of stochastic differential equations we can distinguish between two kinds of attractors. The first one is the attractor (measure attractor) with respect to the Markov semigroup generated by a stochastic differential equation. The second meaning of attractors (random attractors) is to be understood with respect to each trajectory of the ...
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Random attractors for initial memory codes

Proceedings of International Conference on Neural Networks (ICNN'97), 2002
The problem of how the temporal relations among events are converted to the spatial structure in neural connections are considered. Random coding is one hypothesis to this problem, in which items to be stored are associated with randomly chosen network attractors, independent of spatial relationships between the items.
openaire   +2 more sources

Random Exponential Attractor for the 3D Non-autonomous Stochastic Damped Navier–Stokes Equation

Journal of Dynamics and Differential Equations, 2021
Zongfei Han, Shengfan Zhou
semanticscholar   +1 more source

Semigroups, Attractors, and Products of Random Matrices [PDF]

, 1991
In this paper we define attractors in a natural manner and then use semigroup ideas to find a convenient formula for their determination. Recurrent random walks in matrices will appear in our discussions and be part of the total picture. We will use our formula to determine completely two interesting attractors.
openaire   +1 more source

Random attractor for the stochastic Cahn–Hilliard–Navier–Stokes system with small additive noise

, 2018
Fang Li, Bo You
semanticscholar   +1 more source

The existence of a random attractor for the three dimensional damped Navier–Stokes equations with additive noise

, 2017
Bo You
semanticscholar   +1 more source