Neimark-Sacker and Closed Invariant Curve Bifurcations of A Two Dimensional Map Used For Cryptography

摘要

The purpose of this paper is to study dynamics and bifurcations of a family of twodimensional noninvertible maps used for cryptosystems. Especially, the bifurcation of NeimarkSacker is analysed algebraically and illustrated by numerical simulations. Furthermore, global bifurcations caused when a closed invariant curve intersects the critical lines are observed by simulation. On the other hand, several chaotic attractors have been observed in the phase plane for some particular values of the parameters.