一类二维对数型映射的浑沌性

The Chaotic Behavior in a Two Dimensional Mapping with Logarithmic Form

讨论了一类二维对数型映射Φ的浑沌性．用解析方法给出了映射Φ以双边无穷序列集上的位移自同构σ为子系统的参数范围，此时Φ产生浑沌．

The chaotic behavior is discussed for a two dimensional mapping Φ with the logarithmic form.It is shown that in some ranges of the parameters Φ possesses a shift automorphism σ of a set of double infinite sequences as its subsystem,which implies the existencs of chaotic behavior in Φ.