Two applications of noninvertible maps in communication and information storage

Two applications of discrete models in the form of noninvertible maps are presented. The first one is related to the now popular problem of communicating via chaos synchronization in the signal processing field. The second topic concerns a method of information storage in periodic solutions (called cycles) of piecewise continuous noninvertible maps. A procedure for extracting the stored information from an incomplete or a noise corrupted one, by using control of chaos from a feedback loop is proposed.