Results 21 to 30 of about 31,463 (266)
Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
Mathematics, 2020 A central role in the variational principle of the measure preserving transformations is played by the topological pressure. We introduce subadditive pre-image topological pressure and pre-image measure-theoretic entropy properly for the random bundle ...
Xianfeng Ma, Zhongyue Wang, Hailin Tan
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Random chain recurrent sets for random dynamical systems [PDF]
Dynamical Systems, 2009 It is known by the Conley's theorem that the chain recurrent set $CR( )$ of a deterministic flow $ $ on a compact metric space is the complement of the union of sets $B(A)-A$, where $A$ varies over the collection of attractors and $B(A)$ is the basin of attraction of $A$. It has recently been shown that a similar decomposition result holds for random
Chen, X., Duan, J.
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Noise-to-State Stability in Probability for Random Complex Dynamical Systems on Networks
Mathematics, 2022 This paper studies noise-to-state stability in probability (NSSP) for random complex dynamical systems on networks (RCDSN). On the basis of Kirchhoff’s matrix theorem in graph theory, an appropriate Lyapunov function which combines with every subsystem ...
Cheng Peng +3 more
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Random Attractors for Stochastic Retarded Lattice Dynamical Systems
Abstract and Applied Analysis, 2012 This paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within
Xiaoquan Ding, Jifa Jiang
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The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations
Boundary Value Problems, 2020 The stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations (KS-GL) perturbed by additive noises is investigated in this paper. By making careful analysis, we first consider the existence and uniqueness of the solution with initial-boundary
Lin Lin, Mei Li
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Random periodic solutions of random dynamical systems
Journal of Differential Equations, 2009 In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a $C^1$ perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.
Zhao, Huaizhong, Zheng, Zuo-Huan
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Dynamics of random spin systems [PDF]
Physica B+C, 1986 We present inelastic neutron scattering experiments on three prototypical random magnets. For the dilute, insulating antiferromagnet Rb/sub 2/Co/sub c/Mg/sub 1-c/F/sub 4/, the randomness has purely geometrical consequences, and the anomalous dynamical behavior which we observe for c close to the magnetic percolation threshold is due to the fractal ...
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Critical slowing down in random anisotropy magnets
Condensed Matter Physics, 2005 We study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis.
G.Moser, R.Folk, Yu.Holovatch, M.Dudka
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Anomalous Diffusion in Random Dynamical Systems
Physical Review Letters, 2019 10 pages, 7 ...
Sato, Y, Klages, R
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Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces
International Journal of Differential Equations, 2011 We study stochastic partly dissipative lattice systems with random coupled coefficients and multiplicative/additive white noise in a weighted space of infinite sequences.
Xiaoying Han
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