A review of chaotification techniques for discrete-time systems

Abstract

This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is of great theoretical interest, but also of practical importance, as highly complex chaotic systems are sought after in many applications. This review aims at providing a roadmap on the topic of chaotification, by presenting the recent developments in the topic, organized by the methodologies that are considered. Future challenges are also identified.