Results 11 to 20 of about 35,932 (265)
Mathematics, 2023 In the present paper, we aim to study the long-time behavior of a stochastic semi-linear degenerate parabolic equation on a bounded or unbounded domain and driven by a nonlinear noise.
Xin Liu, Yanjiao Li
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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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Abstract and Applied Analysis, 2013 This work is concerned with the random dynamics of two-dimensional stochastic Boussinesq system with dynamical boundary condition. The white noises affect the system through a dynamical boundary condition.
Yijin Zhang
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Stability analysis of the projectile based on random center manifold reduction
Theoretical and Applied Mechanics Letters, 2023 The center manifold method has been widely used in the field of stochastic dynamics as a dimensionality reduction method. This paper studied the angular motion stability of a projectile system under random disturbances.
Yong Huang, Chunyan Yang
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Random matrices and controllability of dynamical systems [PDF]
IMA Journal of Mathematical Control and Information, 2021 Abstract We introduce the concept of $\epsilon $-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices. We also estimate the $\varepsilon $-uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from
John Leventides +2 more
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(L2,H1)-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains
Abstract and Applied Analysis, 2013 We study the random dynamical system generated by a stochastic reaction-diffusion equation with additive noise on the whole space ℝn and prove the existence of an (L2,H1)-random attractor for such a random dynamical system. The nonlinearity f is supposed
Gang Wang, Yanbin Tang
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A central limit theorem for random dynamical systems
上海师范大学学报. 自然科学版, 2019 In this article, we establish a central limit theorem (CLT) for random dynamical systems (RDS), which is a supplement to the ergodic theory of random dynamical system.
LYU Kening, ZHENG Yan
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Random cyclic dynamical systems
Advances in Applied Mathematics, 2017 For X a finite subset of the circle and for 0 < r <= 1 fixed, consider the function f_r : X -> X which maps each point to the clockwise furthest element of X within angular distance less than 2 pi r. We study the discrete dynamical system on X generated by f_r, and especially its expected behavior when X is a large random set. We show that, as
Michal Adamaszek +2 more
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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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Entropy, 2021 Random fluctuations in neuronal processes may contribute to variability in perception and increase the information capacity of neuronal networks. Various sources of random processes have been characterized in the nervous system on different levels ...
Pavel Kraikivski
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