Title: A new three-dimensional chaotic system with a cloud-shaped curve of equilibrium points, its circuit implementation and sound encryption

Authors: Sundarapandian Vaidyanathan; Aceng Sambas; Sezgin Kacar; Ünal Çavuşoğlu

Addresses: Research and Development Centre, Vel Tech University, Chennai-600062, Tamil Nadu, India ' Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya, Jawa Barat 46196, Indonesia ' 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: In the chaos literature, significant attention has been paid to chaotic systems with uncountable equilibrium points such as chaotic systems with line equilibrium, curve equilibrium, etc. This paper reports a novel chaotic system with a cloud-shaped curve of equilibrium points with symmetry properties. A new control law for completely synchronising the new chaotic system with cloud-shaped equilibrium curve has been established via adaptive integral sliding mode control. Also, an electronic circuit implementation of the theoretical system is designed to check its feasibility. As an engineering application, new results are derived for sound encryption with the new chaotic system.

Keywords: chaos; chaotic systems; chaos synchronisation; sliding mode control; circuit implementation; chaos based encryption; sound encryption.

DOI: 10.1504/IJMIC.2018.095334

International Journal of Modelling, Identification and Control, 2018 Vol.30 No.3, pp.184 - 196

Received: 23 Aug 2017
Accepted: 04 Oct 2017
Published online: 03 Oct 2018 *

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