A novel class of Chaotic Flows with infinite equilibriums and their application in Chaos-Based communication design using DCSK

Abstract

Discovering chaotic systems with interesting features has been of interest in the recent years. One such important and interesting feature is the type and shape of equilibrium points. We introduce a class of chaotic systems which could show different types of infinite equilibrium points. The fundamental properties of the proposed systems like bifurcation diagram and Lyapunov exponents are investigated. An electronic circuit of the presented chaotic systems is implemented. In addition, a chaos-based communication application by the differential chaos shift keying method with the new chaotic system is designed and tested for engineering application. According to the design test results, the proposed chaosbased communication system is successful. Therefore, the new chaotic system can be used in chaos-based communication systems.