A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization

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date 2020-06-02 01:57:35
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spelling 10346 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=10346 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Conference Conference Paper application/pdf 9 1.6 Adobe Acrobat Pro DC 20 Paper Capture Plug-in Mozilla/5.0 (Windows NT 6.1; Win64; x64) AppleWebKit/537.36 (KHTML like Gecko) Chrome/81.0.4044.138 Safari/537.36 2020-06-02 01:57:35 1941-01-FH03-FIK-20-37462.pdf UniSZA Private Access A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization 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. 2nd International Conference on Computer, Science, Engineering, and Technology, ICComSET 2019 Banten, Indonesia
spellingShingle A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization
summary 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.
title A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization
title_full A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization
title_fullStr A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization
title_full_unstemmed A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization
title_short A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization
title_sort new 4-d multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization