Chaos in famous discrete dynamical systems and its application in cryptography

Abstract

Chaos is a rich and modern field of research, linked to other disciplines such as informa- tion security,cryptography, and computer science.

This is why we are entreing this area of applied mathematics.

The objective of this work is based on the general problem of searching chaos in nonlin- ear dynamical system,more specifically, we are interested in discrete nonlinear dynamical

systems, whose formulation are given by recurrent function with a set of bifurcation

parameters,where a small perturbation to the inintial conditions results in a large dis- crepancy between long term observation; this is where the notion of unpredictability takes

place.