Title: A new family of 5D, 6D, 7D and 8D hyperchaotic systems from the 4D hyperchaotic Vaidyanathan system, the dynamic analysis of the 8D hyperchaotic system with six positive Lyapunov exponents and an application to secure communication design

Authors: Khaled Benkouider; Toufik Bouden; Mustak E. Yalcin; Sundarapandian Vaidyanathan

Addresses: Non Destructive Testing Laboratory, Automatic Department, Jijel University, BP 98, 18000, Jijel, Algeria ' Non Destructive Testing Laboratory, Automatic Department, Jijel University, BP 98, 18000, Jijel, Algeria ' Department of Electronics and Communication Engineering, Istanbul Technical University, Maslak, 34467 Sariyer, Istanbul, Turkey ' Research and Development Centre, Vel Tech University, Chennai-600062, Tamil Nadu, India

Abstract: This work reports a new family of 5D, 6D, 7D and 8D hyperchaotic systems derived successively from the 4D hyperchaotic Vaidyanathan system (2018). The new 8D hyperchaotic system possesses six positive Lyapunov exponents. We discuss the dynamic properties of the new 8D hyperchaos system, describe its self-synchronisation and provide an application in secure communication. Anequivalent electronic circuit of the 8D hyperchaos is implemented using Multisim software to validate the physical feasibility of the system. As an application to secure communications, a new hyperchaotic transmission scheme is developed based on the drive-response synchronisation method and using all the 8D hyperchaos signals generated by the proposed system. With its six positive Lyapunov exponents, the proposed 8D hyperchaos system generates high complex behaviour. Thus, the new 8D hyperchaos system can be deployed in many engineering applications such as cryptosystems and secure communication.

Keywords: chaos; chaotic systems; hyperchaos; hyperchaotic systems; Lyapunov exponents; circuit design; synchronisation; multi-stability; coexisting attractors; secure communication; encryption; decryption.

DOI: 10.1504/IJMIC.2020.114191

International Journal of Modelling, Identification and Control, 2020 Vol.35 No.3, pp.241 - 257

Received: 01 May 2020
Accepted: 03 Jun 2020
Published online: 13 Apr 2021 *

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