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Random Walk on a Strange Attractor
Physical Review Letters, 1984On 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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Measure attractors and random attractors for stochastic partial differential equations
Stochastic Analysis and Applications, 1999In 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, 1990We 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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STABILITY OF RANDOM ATTRACTORS FOR A BACKWARDS EULER SCHEME
Stochastics and Dynamics, 2004This paper applies a theorem from Robinson [12] in order to show that the backwards Euler approximation [Formula: see text] of a simple stochastic ODE [Formula: see text] perturbs the attractor of the SDE in an upper semicontinuous way, i.e. that [Formula: see text]
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The Properties of Pseudo-Attractors in Random Boolean Networks
Random Boolean Networks are dissipative dynamical models of gene regulatory networks, which are older than fifty years but still raise considerable interest. In this paper we will rely on two key concepts which had been introduced in previous works, namely those of pseudo-attractors (which are obtained by projecting true dynamical attractors onto ...Villani, Marco +2 more
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Random convergence analysis of particle swarm optimization algorithm with time‐varying attractor
Swarm and Evolutionary Computation, 2021Xiaoning Ma, Tianyun Shi
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Random attractor for the Ladyzhenskaya model with additive noise
Journal of Mathematical Analysis and Applications, 2010Caidi Zhao, Jinqiao Duan
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Random attractor of the stochastic strongly damped wave equation
Communications in Nonlinear Science and Numerical Simulation, 2012Shengfan Zhou +2 more
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