CHAOTIC BEHAVIOR IN THE TAYLOR MAPPING

<正> In this paper, we discuss the existence of ehaotic behavior of the mappingwhich is called a Taylor mapping. So far, in literature, this has been done for some special values of the parameter A. Now it is proved in the present paper that for the general case A>18, the Taylor mapping φ possesses a shift σ of S as a subsystem, namely, there is a homeomorphism with φτ=τσ, where S is a set of double infinite sequences and Q a parallelogram.