A New 4-D Multi-Stable Hyperchaotic Two-Scroll System with No-Equilibrium and its Hyperchaos Synchronization

作     者：S. Vaidyanathan C-H Lien W. Fuadi Mujiarto M. Mamat Subiyanto 

作者机构：Research and Development Centre Vel Tech University Avadi Chennai India Department of Marine Engineering National Kaohsiung University of Science and Technology Kaohsiung 811 Taiwan R.O.C. Department of Informatic Universitas Malikussaleh Aceh Utara Indonesia Department of Mechanical Engineering Universitas Muhammadiyah Tasikmalaya Indonesia Faculty of Informatics and Computing Universiti Sultan Zainal Abidin Kuala Terengganu Malaysia Department of Marine Science Faculty of Fishery and Marine Science Universitas Padjadjaran Indonesia 

出 版 物：《Journal of Physics: Conference Series》 

年 卷 期：2020年第1477卷第2期

学科分类：07[理学] 0702[理学-物理学] 

摘      要：A new 4-D multi-stable hyperchaotic two-scroll system with four quadratic nonlinearities is proposed in this paper. The dynamical properties of the new hyperchaotic system are described in terms of finding equilibrium points, phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. We discover that the new hyperchaotic system has no equilibrium point and hence it exhibits a hidden attractor. Furthermore, we show that the new hyperchaos system has multi-stability by the coexistence of hyperchaotic attractors for different values of initial conditions. As a control application, we use integral sliding mode control (ISMC) to derive new results for the hyperchaos synchronization of the new 4-D multi-stable hyperchaotic two-scroll system with hidden attractor.