论文标题
加权移动中的li-yyorke和Devaney混沌统一动力学系统
Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts
论文作者
论文摘要
在本文中，对于有限的离散字段$ f $，非空置集$γ$，权重vector $ \ mathfrak {w} =（{{\ mathfrak w}_α）_ {α\inγ} \在f^γ$中均匀动力学系统的足够条件$（f^γ，σ_{φ，{\ Mathfrak w}}）$ to li-yorke chaotic。接下来，我们发现$（f^γ，σ_{φ，{\ mathfrak w}}）$的必要条件是Devaney Chaotic。
In this paper, for finite discrete field $F$, nonempty set $Γ$, weight vector $\mathfrak{w}=({\mathfrak w}_α)_{α\inΓ}\in F^Γ$ and weighted generalized shift $σ_{φ,{\mathfrak w}}:F^Γ\to F^Γ$, we find necessary and sufficient conditions for uniform dynamical system $(F^Γ,σ_{φ,{\mathfrak w}})$ to be Li--Yorke chaotic. Next we find necessary and sufficient conditions for $(F^Γ,σ_{φ,{\mathfrak w}})$ to be Devaney chaotic.
