Title: A new five-dimensional four-wing hyperchaotic system with hidden attractor, its electronic circuit realisation and synchronisation via integral sliding mode control

Authors: Sundarapandian Vaidyanathan; Leutcho Gervais Dolvis; Kengne Jacques; Chang-Hua Lien; Aceng Sambas

Addresses: Research and Development Centre, Vel Tech University, Chennai-600062, Tamil Nadu, India ' Laboratory of Condensed Matter, Electronics and Signal Processing, Faculty of Science, Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon ' Department of Electrical Engineering, IUT FV, Bandjoun, University of Dschang, P.O. Box 67, Dschang, Cameroon ' Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaousiung, 811, Taiwan ' Department of Mechanical Engineering, Universitas Muhammadiyah Taskimalaya, Tasikmalaya, Jawa Barat 46196, Indonesia

Abstract: This paper reports a new five-dimensional four-wing hyperchaotic system with hidden attractor. First, this paper discusses the dynamic properties of the new four-wing system with a detailed bifurcation analysis, coexistence of attractors and multistability, offset boosting, Lyapunov exponents, etc. It is shown that the new four-wing system has no rest point and thus it exhibits hidden attractor. The new four-wing system exhibits two positive Lyapunov characteristic exponents and a large value of Kaplan-Yorke dimension indicating high complexity of the system. We realise the dynamic equations of the new four-wing system with an electronic circuit and simulations via MultiSIM. As a control application, we derive new results for the complete synchronisation of the new four-wing system via integral sliding mode control. MATLAB simulations are adequately provided to illustrate modelling and applications of the new four-wing system with hyperchaotic four-wing attractor.

Keywords: hyperchaos; hyperchaotic systems; four-wing system; integral sliding mode control; circuit design.

DOI: 10.1504/IJMIC.2019.101959

International Journal of Modelling, Identification and Control, 2019 Vol.32 No.1, pp.30 - 45

Received: 03 Jul 2018
Accepted: 24 Sep 2018
Published online: 02 Sep 2019 *

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