Results 21 to 30 of about 5,047,376 (392)
Random attractor for the Ladyzhenskaya model with additive noise
Journal of Mathematical Analysis and Applications, 2010 AbstractThis paper studies the dynamical behavior of the Ladyzhenskaya model with additive noise. With some conditions, we prove that the generated random dynamical system has a compact random attractor, which is a random compact set absorbing any bounded nonrandom subset of the phase space.
Caidi Zhao, Jinqiao Duan
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Minimal random attractors [PDF]
Journal of Differential Equations, 2018 19 ...
Hans Crauel, Michael Scheutzow
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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.
Eugene R. Tracy +3 more
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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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Probabilistic continuity of a pullback random attractor in time-sample
Discrete & Continuous Dynamical Systems - B, 2020 Given a time-sample dependent attractor of a random dynamical system, we study its lower semi-continuity in probability along the time axis, and the criteria are established by using the local-sample asymptotically compactness for a triple-continuous ...
Shulin Wang, Yangrong Li
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Random attractor for stochastic Hindmarsh-Rose equations with multiplicative noise [PDF]
Discrete & Continuous Dynamical Systems - B, 2019 The longtime and global pullback dynamics of stochastic Hindmarsh-Rose equations with multiplicative noise on a three-dimensional bounded domain in neurodynamics is investigated in this work.
Chi Phan
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Evolution Equations and Control Theory, 2020 A pullback random attractor is called forward controllable if its time-component is semi-continuous to a compact set in the future, and the minimum among all such compact limit-sets is called a forward controller.
Shuang Yang, Yangrong Li
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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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Attractors via random perturbations [PDF]
Communications in Mathematical Physics, 1989 We discuss conditions which ensure that weak limits of invariant measures of small random perturbations of dynamical systems have their supports on attractors.
Yuri Kifer, Yuri Kifer
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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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