Results 11 to 20 of about 319,639 (338)
Pseudo-Orbits, Stationary Measures and Metastability [PDF]
, 2014 We study random perturbations of multidimensional piecewise expanding maps. We characterize absolutely continuous stationary measures (acsm) of randomly perturbed dynamical systems in terms of pseudo-orbits linking the ergodic components of absolutely ...
Bahsoun, Wael, Hu, Huyi, Vaienti, Sandro
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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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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 +3 more
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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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A dynamical approximation for stochastic partial differential equations [PDF]
, 2007 Random invariant manifolds often provide geometric structures for understanding stochastic dynamics. In this paper, a dynamical approximation estimate is derived for a class of stochastic partial differential equations, by showing that the random ...
Blömker D. +5 more
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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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Abstract and Applied Analysis, 2013 This work is concerned with the random dynamics of two-dimensional stochastic Boussinesq system with dynamical boundary condition. The white noises affect the system through a dynamical boundary condition.
Yijin Zhang
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(L2,H1)-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains
Abstract and Applied Analysis, 2013 We study the random dynamical system generated by a stochastic reaction-diffusion equation with additive noise on the whole space ℝn and prove the existence of an (L2,H1)-random attractor for such a random dynamical system. The nonlinearity f is supposed
Gang Wang, Yanbin Tang
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Stability analysis of the projectile based on random center manifold reduction
Theoretical and Applied Mechanics Letters, 2023 The center manifold method has been widely used in the field of stochastic dynamics as a dimensionality reduction method. This paper studied the angular motion stability of a projectile system under random disturbances.
Yong Huang, Chunyan Yang
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Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces
International Journal of Differential Equations, 2011 We study stochastic partly dissipative lattice systems with random coupled coefficients and multiplicative/additive white noise in a weighted space of infinite sequences.
Xiaoying Han
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