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Random maps and attractors in random Boolean networks [PDF]
Physical Review E, 2005 18 pages, 11 ...
Samuelsson, Björn, Troein, Carl
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Criteria for Strong and Weak Random Attractors [PDF]
Journal of Dynamics and Differential Equations, 2009 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 attractors.
Crauel, Hans +2 more
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Analogues of Khintchine’s theorem for random attractors [PDF]
Transactions of the American Mathematical Society, 2021 In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine approximation to hold almost surely for stochastically self-similar and self-affine random iterated function systems.
Troscheit, Sascha, Baker, Simon
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Mathematics, 2023 In the present paper, we aim to study the long-time behavior of a stochastic semi-linear degenerate parabolic equation on a bounded or unbounded domain and driven by a nonlinear noise.
Xin Liu, Yanjiao Li
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Minimal random attractors [PDF]
Journal of Differential Equations, 2018 19 ...
Crauel, Hans, Scheutzow, Michael
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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
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Finite-Dimensionality of Tempered Random Uniform Attractors [PDF]
Journal of Nonlinear Science, 2021 AbstractFinite-dimensional attractors play an important role in finite-dimensional reduction of PDEs in mathematical modelization and numerical simulations. For non-autonomous random dynamical systems, Cui and Langa (J Differ Equ, 263:1225–1268, 2017) developed a random uniform attractor as a minimal compact random set which provides a certain ...
Hongyong Cui +2 more
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On Random Attractors for Mixing Type Systems [PDF]
Functional Analysis and Its Applications, 2004 The paper deals with infinite-dimensional random dynamical systems. Under the condition that a system in question is of mixing type and possesses a random compact attracting set, we show that the support of the unique invariant measure is a minimal random point attractor. The results obtained apply to the randomly forced 2D Navier-Stokes system.
Kuksin, Sergei, Shirikyan, Armen
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On Ghost Attractor in Blinking Chaotic MVD Memristor-Based Circuit and its Application
IEEE Access, 2021 This work is devoted to explore the possible existence of ghost attractors in a proposed nonautonomous blinking circuit with nonlinear memristors along with their potential application.
Rajagopalan Ramaswamy +3 more
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Dynamics of plate equations with time delay driven by additive noise in R n $\mathbb{R}^{n}$
Journal of Inequalities and Applications, 2023 This paper is concerned with the asymptotic behavior of solutions for plate equations with delay blurred by additive noise in R n $\mathbb{R}^{n}$ . First, we obtain the uniform compactness of pullback random attractors of the problem, then derive the ...
Xiaobin Yao
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