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Inventi Impact: Engineering Mathematics

Articles

  • Inventi:eem/44740/22
    Sensitivity of the Product System of Set-Valued Non-Autonomous Discrete Dynamical Systems
    01-Apr-2022 Research 2022 : April-June
    Yongxi Jiang, Tianxiu Lu, Jingmin Pi, Xiaofang Yang

    This paper is concerned with the sensitivity of set-valued discrete systems. Firstly, this paper obtained the equivalence between ( ( ) ) 1, X , f  ∞ or ( ( ) ) 1, Y , g  ∞ and the product system ( ( ) ) 1, 1, X Y , f g ∞ ∞  × × in sensitivity, infinite sensitivity,  -sensitivity, ( ) 1 2  , -sensitivity. Then, the relation between ( ) 1, X , f ∞ or ( ) 1, Y, g ∞ and ( ( ) ) 1, 1, X Y , f g ∞ ∞  × × in ergodic sensitivity is obtained. Where ( ( ) ) 1, X , f  ∞ is the set-valued dynamical system induced by a non-autonomous discrete dynamical system ( ) 1, X , f ∞ .

    How to Cite this Article
    Attribution/ CC Compliant Citation: Jiang, Yongxi, et al. "Sensitivity of the Product System of Set-Valued Non-Autonomous Discrete Dynamical Systems." Journal of Applied Mathematics and Physics 9.11 (2021): 2706-2716. https://doi.org/10.4236/jamp.2021.911174 http://creativecommons.org/licenses/by/4.0/ Some formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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