A 1D coupled hyperbolic tangent chaotic map with delay and its application to password generation

This paper proposes a new one-dimensional chaotic map. The map consists of a coupling between two hyperbolic tangent terms, where the second term is delayed, to avoid dynamical degradation. The map is studied through computation of its bifurcation diagrams and Lyapunov exponent diagrams and is shown to have constant chaotic behavior for almost all parameter values. Afterward, based on the proposed map, a pseudo-random bit generator with a high keyspace is designed. This generator is then used as a basis for a proposed password generator application. The motivation behind this application is to design an algorithm that takes as input an easy-to-remember key by the user and outputs a secure password that can be used for websites or file security. This way, the use of easy-to-crack, repetitive passwords is avoided. The proposed generator is developed as a graphical user interface.

Automated summary

This paper proposes a new one-dimensional chaotic map and demonstrates its constant chaotic behavior through computation of bifurcation diagrams and Lyapunov exponent diagrams. Based on this map, a pseudo-random bit generator with a high keyspace is designed for a password generator application.