Volume 7, Number 1, 2017, Pages 92-101 DOI:10.11948/2017007 |
Proximal and syndetical properties in nonautonomous discrete systems |
Tianxiu Lu,Guanrong Chen |
Keywords:Nonautonomous discrete system, proximity, syndeticity, sensitivity. |
Abstract: |
This paper is mainly concerned with a class of nonautonomous discrete systems $(X, f_{1,\infty})$. New definitions of proximity relations and sensitivity in nonautonomous discrete systems are given. Some relations among $P(f_{1,\infty})$, $L(f_{1,\infty})$, $R(f_{1,\infty})$, $S(f_{1,\infty})$ and $P(f_{1,\infty})(x)$ are derived. And some chaotic properties of $f_{1,\infty}$ are proved. |
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