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

S. Vaidyanathan, - and CH Lien, - and W Fuadi, - and Mujiarto, - and M. Mamat, - and Subiyanto, - (2020) A New 4-D Multi-Stable Hyperchaotic Two-Scroll System with No-Equilibrium and its Hyperchaos Synchronization. Journal of Physics: Conference Series, 1477. 022018. ISSN 17426588; 17426596

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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.

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Item Type: Article
Divisions: Fakultas Teknik > Karya Dosen
Depositing User: Tsani Karimah
Date Deposited: 31 Oct 2022 04:32
Last Modified: 26 May 2023 06:19
URI: http://repository.umtas.ac.id/id/eprint/1093

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