Open Mathematics, 2019 We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
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P- Omega Limit Set in Random Dynamical Systems
, 2022 N G Alkhrayfawee +2 more
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A Novel Two-Dimensional Dynamic Pseudo-Random Coupled Map Lattices System Based on Partitioned Elementary Cellular Automata [PDF]
, 2022 Hao Ning +3 more
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Entropy of random dynamical systems
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1986 Let (M,B,\(\mu)\) be a non-atomic Lebesgue space, (S,\({\mathcal S})\) be a standard measurable space and let \(f:S\times M\to M\) be measurable, such that for each \(s\in S\quad m\to f(s,m)\) is \(\mu\)-preserving. For a (strictly) stationary sequence \((\xi_ n)\) of S-valued random variables the random dynamical system is defined by \(X_ n=f(\xi_ n ...
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Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise
Electronic Journal of Differential Equations, 2019 This work concerns the dynamics of a class of stochastic dynamical systems with a multiplicative non-Gaussian Levy noise. We first establish the existence of stable and unstable foliations for this kind of system via the Lyapunov-Perron method.
Ying Chao, Pingyuan Wei, Shenglan Yuan
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Simple Rules of a Discrete Stochastic Process Leading to Catalan-like Recurrences
AlgorithmsA method for obtaining integer sequences is presented by defining simple rules for the evolution of a discrete dynamical system. This paper demonstrates that various Catalan-like recurrences of known integer sequences can be obtained from a single ...
Mariusz Białecki
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Dynamical System Modeling to Simulate Donor T Cell Response to Whole Exome Sequencing-Derived Recipient Peptides: Understanding Randomness In Clinical Outcomes Following Stem Cell Transplantation [PDF]
, 2016 Vishal N. Kopardé +16 more
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Steady State Of Random Dynamical Systems [PDF]
, 2020 M. S. Shesha Gopal +2 more
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Algebras of random operators associated to Delone dynamical systems [PDF]
, 2002 Daniel Lenz, Peter Stollmann
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Some new results on the dynamical behavior of non-autonomous logistic system with random perturbation [PDF]
, 2012 Hongxiao Hu
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