Results 31 to 40 of about 7,477,558 (327)
Random maps and attractors in random Boolean networks [PDF]
Physical Review E, 2005 18 pages, 11 ...
Samuelsson, Björn, Troein, Carl
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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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, 2020 In this paper, we study the backward compactness of random attractors, which describes the compactness of the union \begin{document}$ \cup_{s\leq\tau}\mathcal A(s,\omega) $\end{document} of random attractor sections over past times, \begin{document ...
Fu-Zhi Li, Dong-Mei Xu, Jiali Yu
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Regularization by Intrinsic Plasticity and its Synergies with Recurrence for Random Projection Methods [PDF]
, 2012 Neumann K, Emmerich C, Steil JJ. Regularization by Intrinsic Plasticity and its Synergies with Recurrence for Random Projection Methods. Journal of Intelligent Learning Systems and Applications. 2012;4(3):230-246.Neural networks based on high-dimensional
Emmerich, Christian +2 more
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Journal of Mathematical Analysis and Applications, 2011 Shengfan Zhou, Zhaojuan Wang
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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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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Properties of attractors of canalyzing random Boolean networks [PDF]
Physical Review E, 2006 9 pages, 8 ...
Paul, U., Kaufman, V., Drossel, B.
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