Eur. Phys. J. Plus (2018) 133: 46
https://doi.org/10.1140/epjp/i2018-11872-8

Regular Article

A new 4-D chaotic hyperjerk system, its synchronization, circuit design and applications in RNG, image encryption and chaos-based steganography

¹ Vel Tech University, Research and Development Centre, Chennai-600 062, Tamil Nadu, India
² Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, 54187, Sakarya, Turkey
³ Department of Computer Engineering, Faculty of Technology, Sakarya University, 54187, Sakarya, Turkey

^* e-mail: sundarvtu@gmail.com

Received: 22 July 2017
Accepted: 15 January 2018
Published online: 12 February 2018

Abstract

Hyperjerk systems have received significant interest in the literature because of their simple structure and complex dynamical properties. This work presents a new chaotic hyperjerk system having two exponential nonlinearities. Dynamical properties of the chaotic hyperjerk system are discovered through equilibrium point analysis, bifurcation diagram, dissipativity and Lyapunov exponents. Moreover, an adaptive backstepping controller is designed for the synchronization of the chaotic hyperjerk system. Also, a real circuit of the chaotic hyperjerk system has been carried out to show the feasibility of the theoretical hyperjerk model. The chaotic hyperjerk system can also be useful in scientific fields such as Random Number Generators (RNGs), data security, data hiding, etc. In this work, three implementations of the chaotic hyperjerk system, viz. RNG, image encryption and sound steganography have been performed by using complex dynamics characteristics of the system.