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Random periodic solutions of random dynamical systems [PDF]
Journal of Differential Equations, 2009 In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a $C^1$ perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.
Huaizhong Zhao
exaly +4 more sources
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
doaj +2 more sources
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.
Schenk-Hoppé, Klaus Reiner
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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
openaire +6 more sources
On the Concept of Complexity of Random Dynamical Systems [PDF]
International Journal of Modern Physics B, 1998 We show how to introduce a characterization the "complexity" of random dynamical systems. More precisely we propose a suitable indicator of complexity in terms of the average number of bits per time unit necessary to specify the sequence generated by these systems.
LORETO, Vittorio +2 more
core +6 more sources
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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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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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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