Results 11 to 20 of about 38,401 (302)
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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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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Random Perturbation of Invariant Manifolds for Non-Autonomous Dynamical Systems
Mathematics, 2022 Random invariant manifolds are geometric objects useful for understanding dynamics near the random fixed point under stochastic influences. Under the framework of a dynamical system, we compared perturbed random non-autonomous partial differential ...
Tao Jiang, Zhongkai Guo, Xingjie Yan
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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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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Cesaro Limits for Fractional Dynamics
Fractal and Fractional, 2021 We study the asymptotic behavior of random time changes of dynamical systems. As random time changes we propose three classes which exhibits different patterns of asymptotic decays.
Yuri Kondratiev, José da Silva
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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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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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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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