Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations
We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.
Jie Xin, Hong Lu
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Compiling Probabilistic, Bio-Inspired Circuits on a Field Programmable Analog Array
A field programmable analog array (FPAA) is presented as an energy efficiency engine: a mixed mode processor for which functions can be compiled at significantly less energy costs using noisy computing circuits.
H. Bo eMarr, Jennifer eHasler
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Finite-dimensionality of attractors for dynamical systems with applications: deterministic and random settings [PDF]
Arthur C. Cunha
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Asymptotic Formula for Counting in Deterministic and Random Dynamical Systems [PDF]
Hamid Naderiyan
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This work studies the long-time behavior of two-dimensional micropolar fluid flows perturbed by the generalized time derivative of the infinite dimensional Wiener processes.
Wenqiang Zhao
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The large deviation principle for interacting dynamical systems on random graphs [PDF]
Paul Dupuis, Georgi S. Medvedev
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Topological dimensions of random attractors for a stochastic reaction-diffusion equation with delay
The aim of this paper is to obtain an estimation of Hausdorff as well as fractal dimensions of random attractors for a stochastic reaction-diffusion equation with delay.
Wenjie Hu, Tomas Caraballo
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Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
The existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated ...
Anhui Gu
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RANDOMLY GENERATED FUZZY DISCRETE DYNAMICAL SYSTEMS [PDF]
This paper aims to introduce the concept of a fuzzy discrete dynamical system as a fuzzy subgroupoid of X×Z×X, with Z representing the group of integer numbers.
Mădălina Roxana BUNECI
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A Free Energy Principle for Biological Systems
This paper describes a free energy principle that tries to explain the ability of biological systems to resist a natural tendency to disorder. It appeals to circular causality of the sort found in synergetic formulations of self-organization (e.g., the ...
Friston Karl
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