Results 11 to 20 of about 31,463 (266)
Stochastic Safety for Random Dynamical Systems [PDF]
2021 American Control Conference (ACC), 2021 In the paper, we study the so-called p-safety of a random dynamical system. We generalize the existing results for safety barrier certificates for deterministic dynamical systems and Markov processes. Moreover, we consider the case of random obstacles, modelled as random sets.
Bujorianu, Manuela L. +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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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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RANDOM DYNAMICAL SYSTEMS IN ECONOMICS [PDF]
Stochastics and Dynamics, 2001 This paper surveys recent advances in the application of random dynamical systems theory in economics. It illustrates the usefulness of this framework for modeling and analysis of economic phenomena with stochastic components, mainly focusing on stochastic dynamic models of economic growth.
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Measurement Brownian Dimension of Von Koch Curve [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2018 The aim of this paper, it's calculate Brownian dimension of fractal pattern has self similarity (Von Koch Curve). This method is Random Middle Third Displacement in [0,1] has Gaussian distribution.
Mahasin Younis
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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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Weak random periodic solutions of random dynamical systems
Canadian Mathematical Bulletin, 2023 AbstractWe first introduce the concept of weak random periodic solutions of random dynamical systems. Then, we discuss the existence of such periodic solutions. Further, we introduce the definition of weak random periodic measures and study their relationship with weak random periodic solutions.
Sun, Wei, Zheng, Zuo-Huan
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The narrow recurrence of random dynamical systems [PDF]
Mathematica BohemicaLet $(\Omega,\mathcal{F},\mathbb{P})$ be a probability space, where $\mathcal{F}$ is countably generated, and $X$ be a Polish space. Let $\varphi$ be a random dynamical system with time $\mathbb{T}$ on $X$.
Ahmed Zaou, Mohamed Amouch
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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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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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