Results 21 to 30 of about 38,401 (302)
Antagonistic interactions can stabilise fixed points in heterogeneous linear dynamical systems
SciPost Physics, 2023 We analyse the stability of large, linear dynamical systems of variables that interact through a fully connected random matrix and have inhomogeneous growth rates.
Samuel Cure, Izaak Neri
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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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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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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 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of $\epsilon $-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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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, 2022 In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number x that can be determined from just knowing its first n decimal digits. In 2001 this result was generalised to a dynamical systems setting by Dajani and Fieldsteel,
Verbitskiy, Evgeny +2 more
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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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Anomalous Diffusion in Random Dynamical Systems
Physical Review Letters, 2019 10 pages, 7 ...
Sato, Y, Klages, R
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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 pullback exponential attractors: general existence results for random dynamical systems in Banach spaces [PDF]
, 2017 We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.Fondo Europeo de ...
Sonner, Stefanie +1 more
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