Results 21 to 30 of about 40,691 (307)
Random cyclic dynamical systems
For X a finite subset of the circle and for 0 < r <= 1 fixed, consider the function f_r : X -> X which maps each point to the clockwise furthest element of X within angular distance less than 2 pi r. We study the discrete dynamical system on X generated by f_r, and especially its expected behavior when X is a large random set. We show that, as
Michal Adamaszek +2 more
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The random continued fraction transformation [PDF]
We introduce a random dynamical system related to continued fraction expansions. It uses random combinations of the Gauss map and the Rényi (or backwards) continued fraction map.
Kalle, C.C.C.J. +8 more
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Random matrices and controllability of dynamical systems [PDF]
Abstract We introduce the concept of $\epsilon $-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices. We also estimate the $\varepsilon $-uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from
John Leventides +2 more
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Random fluctuations in neuronal processes may contribute to variability in perception and increase the information capacity of neuronal networks. Various sources of random processes have been characterized in the nervous system on different levels ...
Pavel Kraikivski
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Anomalous Diffusion in Random Dynamical Systems
10 pages, 7 ...
Sato, Y, Klages, R
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On potential kernels associated with random dynamical systems [PDF]
Let \((\theta,\varphi)\) be a continuous random dynamical system defined on a probability space \((\Omega,\mathcal{F},\mathbb{P})\) and taking values on a locally compact Hausdorff space \(E\).
Mohamed Hmissi +2 more
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Probabilistic study of a dynamical system [PDF]
This paper investigates the relation between a branching process and a non-linear dynamical system in C2. This idea has previously been fruitful in many investigations, including that of the FKPP equation by McKean, Neveu, Bramson, and others.
Warren, Jon, Williams, D.
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New Methodology of Block Cipher Analysis using Chaos Game [PDF]
Block cipher analysis covers randomness analysis and cryptanalysis. This paper proposes a new method potentially used for randomness analysis and cryptanalysis. The method uses true random sequence concept as a reference for measuring randomness level of
Budi Sulistyo +3 more
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Random Attractors for Stochastic Retarded Lattice Dynamical Systems
This paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within
Xiaoquan Ding, Jifa Jiang
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Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise
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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