Results 21 to 30 of about 46,943 (335)
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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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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Random attractors for stochastic partly dissipative systems [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2020 AbstractWe prove the existence of a global random attractor for a certain class of stochastic partly dissipative systems. These systems consist of a partial and an ordinary differential equation, where both equations are coupled and perturbed by additive white noise.
Christian Kuehn +2 more
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On attractors, spectra and bifurcations of random dynamical systems [PDF]
, 2015 In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
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Analogues of Khintchine’s theorem for random attractors [PDF]
, 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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Random attractors for stochastic evolution equations driven by fractional Brownian motion [PDF]
, 2013 The main goal of this article is to prove the existence of a random attractor for a stochastic evolution equation driven by a fractional Brownian motion with $H\in (1/2,1)$.
Gao, H. +2 more
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Invariant Gragh and Random Bony Attractors
, 2021 13 pages, 0 ...
Ghane, Fateme Helen +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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Entropy, 2020 In this paper, a new 4D hyperchaotic system is generated. The dynamic properties of attractor phase space, local stability, poincare section, periodic attractor, quasi-periodic attractor, chaotic attractor, bifurcation diagram, and Lyapunov index are ...
Lina Ding, Qun Ding
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