A new five-dimensional four-wing hyperchaotic system with hidden attractor, its electronic circuit realisation and synchronisation via integral sliding mode control. (29th August 2019)

• Record Type: Journal Article
• Authors: Vaidyanathan, Sundarapandian; Dolvis, Leutcho Gervais; Jacques, Kengne; Lien, Chang-Hua; Sambas, Aceng
• Is Part Of: International journal of modelling, identification and control. Volume 32:Number 1(2019)
• Page Start: 30
• Page End: 45
• Publication Date: 2019-08-29
• Subjects: hyperchaos -- hyperchaotic systems -- four-wing system -- integral sliding mode control -- circuit design; Engineering -- Methodology -- Periodicals; Science -- Methodology -- Periodicals; 001.42
• Languages: English
• ISSNs: 1746-6172

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.