A new discrete chaotic map based on the composition of permutations

In this paper a new one-dimensional discrete chaotic map based on the composition of permutations is presented. Proposed map is defined over finite set and represents fully digital approach which is significantly different from previous ones. Dynamical properties of special case of proposed map are analyzed. Analyzed map does not have fixed points and exhibits chaotic behavior. (C) 2015 Elsevier Ltd. All rights reserved.