Title of article
On iteration invariants for \((\mathcal{F}_1,\mathcal{F}_2)\)sensitivity and weak \((\mathcal{F}_1,\mathcal{F}_2)\)sensitivity of nonautonomous discrete systems
Author/Authors
Ma ، Cuina - University of Electronic Science and Technology of China , Zhu ، Peiyong - University of Electronic Science and Technology of China , Li ، Risong - Guangdong Ocean University
Pages
8
From page
5772
To page
5779
Abstract
In this paper, let \((X; f_{1;\infty})\) be a nonautonomous discrete system on a compact metric space \(X\). For a positive k, the properties \(\hat{P}(k)\) and \(\hat{Q}(k)\) of Furstenberg families are introduced for any integer \(k gt; 0\). Based on the two properties, we prove that \((\mathcal{F}_1,\mathcal{F}_2)\)sensitivity and weak \((\mathcal{F}_1,\mathcal{F}_2)\)sensitivity are inherited under iterations.
Keywords
Non , autonomous discrete system , Furstenberg family , \((\mathcal{F}_1 , \mathcal{F}_2)\) , sensitivity , weak \((\mathcal{F}_1 , \mathcal{F}_2)\) , sensitivity
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2475657
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