Results 11 to 20 of about 7,941 (267)
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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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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Random maps and attractors in random Boolean networks [PDF]
Physical Review E, 2005 18 pages, 11 ...
Samuelsson, Björn, Troein, Carl
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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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Random attractor for second-order stochastic delay lattice sine-Gordon equation
Boundary Value Problems, 2021 In this paper, we prove the existence of random D $\mathcal{D}$ -attractor for the second-order stochastic delay sine-Gordon equation on infinite lattice with certain dissipative conditions, and then establish the upper bound of Kolmogorov ε-entropy for ...
Xintao Li, Lianbing She, Zhenpei Shan
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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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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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Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain [PDF]
Surveys in Mathematics and its Applications, 2022 In this work, we consider the behavior of long-time dynamics of a random dynamical system generated wave equations with degenerate memory and additive noise, on bounded domain U, with Dirichlet boundary condition, and nonlinear term f(u) with critical ...
Abdelmajid A. D. +3 more
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Invariant Gragh and Random Bony Attractors
, 2021 13 pages, 0 ...
Ghane, Fateme Helen +2 more
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