分段旋转的符号动力学:双射对称映射的情形
Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps
摘要:
我们考虑一个特定的%分段旋转的平面是连续的两个半平面,一类分段旋转的平面是连续的两个半平面,研究\cite{Bosh.Goet.03},\cite{Goet.Quas.09}和\cite{Che.Goe.Qua.12}。假设角属于集合$\{\fracπ{2},\fracπ{3},\fracπ{6},\fracπ{4}\} %$ $,我们给出了双射对称情况下这个映射的符号动力学的描述。
英文摘要:
We consider a specific %piecewise rotation of the plane that is continuous on two half-planes, class of piecewise rotations of the plane that are continuous on two half-planes, as studied in \cite{Bosh.Goet.03}, \cite{Goet.Quas.09} and \cite{Che.Goe.Qua.12}. %If Assuming that the angle belongs to the set $\{\fracπ{2},\fracπ{3},\fracπ{6},\fracπ{4}\} %$ $, we give a description of the symbolic dynamics of this map in the bijective symmetric case.
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