Results 301 to 310 of about 46,943 (335)

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
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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
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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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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 ...
Igor Chueshov, Björn Schmalfuß
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Random attractors of boussinesq equations with multiplicative noise

Acta Mathematica Sinica, English Series, 2009
Consider Stratonovich-interpreted two-dimensional Boussinesq equation perturbed by multiplicative white noise \[ dv + [(v \cdot \nabla) v - \nu \Delta v + \nabla p] dt = e_2(T-T_1) dt + bv \circ dW(t) \] \[ dT+[(v \cdot \nabla)T-\kappa \Delta T)] dt = 0 \] \[ \mathrm{div}(v) = 0 \] on the domain \(D = (0,1)^2\), where \(e_i\) are the unit vectors of \(\
Li, Yangrong, Guo, Boling
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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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Multifractal properties of snapshot attractors of random maps

Physical Review A, 1990
We consider qualitative and quantitative properties of ``snapshot attractors'' of random maps. By a random map we mean that the parameters that occur in the map vary randomly from iteration to iteration according to some probability distribution. By a ``snapshot attractor'' we mean the measure resulting from many iterations of a cloud of initial ...
, Romeiras, , Grebogi, , Ott
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Random Walk on a Strange Attractor

Physical Review Letters, 1984
On etudie les proprietes de transport des attracteurs etranges a l'aide d'une marche de sauterelle a sauts aleatoire sur des points separes d'une distance a±sa sur l ...
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