Results 11 to 20 of about 46,943 (335)
Analysis of attractor distances in Random Boolean Networks [PDF]
, 2010 We study the properties of the distance between attractors in Random Boolean Networks, a prominent model of genetic regulatory networks. We define three distance measures, upon which attractor distance matrices are constructed and their main statistic ...
Andrea Roli +3 more
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Random lasing from Anderson attractors [PDF]
Physical Review A, 2022 We introduce and study a two-dimensional dissipative nonlinear Anderson pumping model which is characterized by localized or delocalized eigenmodes in a linear regime and in addition includes nonlinearity, dissipation and pumping. We find that above a certain pumping threshold the model has narrow spectral lasing lines generated by isolated clusters of
Guillaume Rollin +2 more
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Connectedness of random set attractors [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2017 Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence
Scheutzow, Michael, Vorkastner, Isabell
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Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains [PDF]
Abstract and Applied Analysis, 2013 This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
doaj +2 more sources
Existence of random attractors and the upper semicontinuity for small random perturbations of 2D Navier-Stokes equations with linear damping [PDF]
Open Mathematics, 2021 The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
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Criteria for strong and weak random attractors [PDF]
Journal of Dynamics and Differential Equations, 2008 The theory of random attractors has different notions of attraction, amongst them pullback attraction and weak attraction. We investigate necessary and sufficient conditions for the existence of pullback attractors as well as of weak ...
B. Schmalfuß +19 more
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Random Attractors for Stochastic Retarded Lattice Dynamical Systems [PDF]
Abstract and Applied Analysis, 2012 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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Minimal random attractors [PDF]
Journal of Differential Equations, 2018 19 ...
Crauel, Hans, Scheutzow, Michael
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Random maps and attractors in random Boolean networks [PDF]
Physical Review E, 2005 Despite their apparent simplicity, random Boolean networks display a rich variety of dynamical behaviors. Much work has been focused on the properties and abundance of attractors. The topologies of random Boolean networks with one input per node can be seen as graphs of random maps.
Samuelsson, Björn, Troein, Carl
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Noise-stabilized random attractor [PDF]
Physical Review E, 2006 A two dimensional flow model is introduced with deterministic behavior consisting of bursts which become successively larger, with longer interburst time intervals between them. The system is symmetric in one variable x and there are bursts on either side of x = 0, separated by the presence of an invariant manifold at x = 0.
Finn, J. M. +3 more
openaire +3 more sources