Stronger chaotic features of the complemented shift map on m-symbol space

Abstract

This study aims to show that the chaoticity and related properties of the complemented shift map. In the sense of Devaney as well as generically chaotic with δ=diam(∑_m ), we verify that complemented shift map σ^c is chaotic. Few strong chaotic properties of the complemented shift map have been discussed, and it has been proved that the complemented shift map is conjugate (topologically) to the shift map. Finally, we provide an example to show that σ^c is chaotic, and for that reason, we say that σ^c is an alternative chaotic model in m-symbol space.