Results 1 to 10 of about 31,463 (266)
Fluctuation spectra of large random dynamical systems reveal hidden structure in ecological networks [PDF]
Nature Communications, 2021 Fluctuations in ecosystems and other large dynamical systems are driven by intrinsic and extrinsic noise and contain hidden information which is difficult to extract.
Yvonne Krumbeck +3 more
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Learning dynamical systems with hit-and-run random feature maps [PDF]
Nature CommunicationsWe show how random feature maps can be used to forecast dynamical systems with excellent forecasting skill. We consider the tanh activation function and judiciously choose the internal weights in a data-driven manner such that the resulting features ...
Pinak Mandal, Georg A. Gottwald
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Generalize of some concepts on Linear Random Dynamical Systems
Wasit Journal for Pure Sciences, 2023 This work aims to study the concepts of proximal, distal, minimal, regionally proximal, and uniformly equicontinuous in the linear random dynamical systems with the study of some their properties.
Akhlas Kadom Obaid, Ihsan Jabbar Kadhim
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Study of Local Dissipative Random Dynamical Systems
Wasit Journal for Pure Sciences, 2023 The main objective of this work is to study local dissipation in stochastic dynamical systems. The main properties of this concept were studied. In addition to presenting the necessary and sufficient conditions that make the random dynamic system a ...
Asmahan Yasir, Ihsan J. Kadhim
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Stability index of linear random dynamical systems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution.
Anna Cima +2 more
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Random Conformal Dynamical Systems [PDF]
Geometric and Functional Analysis, 2007 We consider random dynamical systems such as groups of conformal transformations with a probability measure, or transversaly conformal foliations with a Laplace operator along the leaves, in which case we consider the holonomy pseudo-group. We prove that either there exists a measure invariant under all the elements of the group (or the pseudo-group ...
Deroin, Bertrand, Kleptsyn, Victor A.
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On Random Dynamical Systems Generated by White Noise Time Change of Deterministic Dynamical Systems
Journal of Probability and Statistics, 2022 In this paper, we apply the random time change by the real white noise to deterministic dynamical systems. We prove that the obtained random dynamical systems are solutions of some stochastic differential equations whenever the deterministic dynamical ...
Mohamed Hmissi, Farida Mokchaha
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Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
Mathematics, 2021 In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution.
Anatoliy Swishchuk, Nikolaos Limnios
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On potential kernels associated with random dynamical systems [PDF]
Opuscula Mathematica, 2015 Let \((\theta,\varphi)\) be a continuous random dynamical system defined on a probability space \((\Omega,\mathcal{F},\mathbb{P})\) and taking values on a locally compact Hausdorff space \(E\).
Mohamed Hmissi +2 more
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Optimal data-driven models of forced dynamical systems: General approach and examples from climate [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 Purpose. Purpose of this article is to review recent results (over the past three years) obtained at the Institute of Applied Physics (IAP RAS) relating of applications of the method for constructing optimal empirical models to climatic systems. Methods.
Mukhin, Dmitry Николаевич +3 more
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