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

Vaidyanathan, S. and Lien, C.H. and Fuadi, W. and Mujiarto, . and Mamat, M. and Subiyanto, . (2020) A new 4-D multi-stable hyperchaotic two-scroll system with no-equilibrium and its hyperchaos synchronization. In: 2nd International Conference on Computer, Science, Engineering, and Technology, ICComSET 2019, 15-16 Oct 2019, Banten, Indonesia.

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Abstract

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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Control applications, Dynamical properties, Hyper-chaos synchronizations, Hyperchaos systems, Integral sliding mode control, Kaplan-Yorke dimensions, New hyperchaotic systems, Quadratic nonlinearities
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Informatics & Computing
Depositing User: Muhammad Akmal Azhar
Date Deposited: 25 Nov 2020 03:31
Last Modified: 25 Nov 2020 03:31
URI: http://eprints.unisza.edu.my/id/eprint/1941

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