Estimation of topological entropy in random dynamical systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.12.030
Abstract: Abstract For C r ( r > 1 ) random dynamical systems F on a compact smooth Riemannian manifold M, the fiber topological entropy is bounded above by an integral formula. Particularly, for the C… read more here.
Keywords: random dynamical; entropy random; topological entropy; dynamical systems ... See more keywords
Random dynamical system in time domain: A POD-PC model
Sign Up to like & getrecommendations! Published in 2019 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2019.106251
Abstract: Abstract Propagating uncertainties through mechanical systems has been widely studied for the last thirty years. In particular metamodels based on polynomial chaos expansion (PCE) have been successfully developed in the context of both intrusive and… read more here.
Keywords: dynamical system; time; pod model; random dynamical ... See more keywords
The inverse variational principle in random dynamical systems
Sign Up to like & getrecommendations! Published in 2025 at "Dynamical Systems"
DOI: 10.1080/14689367.2025.2470738
Abstract: This paper introduces the concepts of upper and lower capacity topological pressure for non-compact sets into the context of random dynamical systems. Subsequently, we investigate their properties and establish their measurability, demonstrating that these concepts… read more here.
Keywords: dynamical systems; random dynamical; inverse variational; principle random ... See more keywords
Lyapunov Stability, Parallelizablity, and Symmetry of Random Dynamical Systems
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DOI: 10.3390/sym17030325
Abstract: This article aims to study parallelizable random dynamical systems by examining them through the terms of dissipation and stochastic Lyapunov functions. It is demonstrated that any random variable that is not a random fixed point… read more here.
Keywords: system; dynamical systems; random dynamical; stability ... See more keywords