Title: A memristor-based system with hidden hyperchaotic attractors, its circuit design, synchronisation via integral sliding mode control and an application to voice encryption

Authors: Sundarapandian Vaidyanathan; Ahmad Taher Azar; Akif Akgul; Chang-Hua Lien; Sezgin Kacar; Unal Cavusoglu

Addresses: Research and Development Centre, Vel Tech University, Avadi, Chennai 600062, Tamil Nadu, India ' College of Engineering, Prince Sultan University, Riyadh, K.S.A.; Faculty of Computers and Artificial Intelligence, Benha University, Egypt ' Department of Electrical and Electronics Engineering, Sakarya University, Esentepe Campus 54187 Serdivan, Sakarya, Turkey ' Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, 811, Taiwan ' Department of Electrical and Electronics Engineering, Sakarya University, Esentepe Campus 54187 Serdivan, Sakarya, Turkey ' Department of Computer Engineering, Sakarya University, Esentepe Campus 54187 Serdivan, Sakarya, Turkey

Abstract: A memristor-based system with hyperchaos and hidden attractors is introduced in this research work. The proposed four-dimensional memristor-based system exhibits both line equilibrium and no-equilibrium for different choice of parameters. An experimental emulation of the memristor-based system is carried out by an electronic circuit. An adaptive integral sliding mode controller is designed for globally synchronising a pair of memristor-based hyperchaotic systems with unknown parameters. As another application, the memristive system with hyperchaos is applied for voice encryption, which has potential applications in cryptosystems, computing and secure communication.

Keywords: hyperchaos; hyperchaotic systems; circuit design; sliding mode control; memristors; hidden attractors; voice encryption.

DOI: 10.1504/IJAAC.2019.102665

International Journal of Automation and Control, 2019 Vol.13 No.6, pp.644 - 667

Available online: 10 Jul 2019 *

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