Results 11 to 20 of about 306,029 (281)

Random periodic solutions of random dynamical systems

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.
Zhao, Huaizhong, Zheng, Zuo-Huan
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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
doaj   +1 more source

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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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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Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises [PDF]

, 2009
Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation, and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties.
Duan, Jinqiao, Kloeden, Peter E., Liu, Jicheng, Liu, Xianming   +3 more
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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
doaj   +1 more source

Implications of Noise on Neural Correlates of Consciousness: A Computational Analysis of Stochastic Systems of Mutually Connected Processes

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 Bohemica
Let $(\Omega,\mathcal{F},\mathbb{P})$ 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
doaj   +1 more source

Dynamics of Non-Autonomous Stochastic Semi-Linear Degenerate Parabolic Equations with Nonlinear Noise

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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