Results 21 to 30 of about 306,029 (281)
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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On attractors, spectra and bifurcations of random dynamical systems [PDF]
, 2015 In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
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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 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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Pseudo-Orbits, Stationary Measures and Metastability [PDF]
, 2014 We study random perturbations of multidimensional piecewise expanding maps. We characterize absolutely continuous stationary measures (acsm) of randomly perturbed dynamical systems in terms of pseudo-orbits linking the ergodic components of absolutely ...
Bahsoun, Wael, Hu, Huyi, Vaienti, Sandro
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Metastable states and space-time phase transitions in a spin-glass model [PDF]
, 2009 We study large deviations of the dynamical activity in the random orthogonal model (ROM). This is a fully connected spin-glass model with one-step replica symmetry breaking behaviour, consistent with the random first-order transition scenario for ...
D. Ruelle +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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Stochastic lattice dynamical systems with fractional noise [PDF]
, 2016 This article is devoted to study stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter $H\in(1/2,1)$. First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the ...
Bessaih, Hakima +3 more
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Extreme event quantification in dynamical systems with random components [PDF]
, 2018 A central problem in uncertainty quantification is how to characterize the impact that our incomplete knowledge about models has on the predictions we make from them.
Dematteis, Giovanni +2 more
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