Four-scroll chaotic attractor and four-scroll hyperchaotic attractor generated from a new four-dimensional dynamical system

Khaled Benkouider, - and Toufik Bouden, - and Mustak E. Yalcin, - and Aceng Sambas, - and Mujiarto, - and Muhamad Ali Pahmi, - and Akhmad Sutoni, - and Widjajani, - (2021) Four-scroll chaotic attractor and four-scroll hyperchaotic attractor generated from a new four-dimensional dynamical system. Journal of Physics: Conference Series, 1764. 012204. ISSN 17426588; 17426596

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Official URL: https://iopscience.iop.org/issue/1742-6596/1764/1

Abstract

In this paper, a new 4-D hyperchaotic system with one equilibrium point is first introduced. It contains ten terms with three quadratic nonlinearities. Of particular interest is that this novel system can generate periodic attractor, quasi-periodic attractor, four-scroll chaotic attractor and four-scroll hyperchaotic attractor with the variation of one of its parameters. Major dynamical properties of the new system are investigated such as sensitivity to the initial conditions, dissipativity, equilibrium point stability, Kaplan-Yorke dimension, Lyapunov exponents spectrum and bifurcation diagram. In addition, an equivalent electronic circuit schematic is implemented using Multisim software; the obtained results confirm the feasibility of the proposed system.

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Item Type:	Article
Uncontrolled Keywords:	Chaos, hyperchaos, chaotic system, four-scroll attractor, Lyapunov exponent, bifurcation, electronic circuits
Divisions:	Fakultas Teknik > Karya Dosen
Depositing User:	Tsani Karimah
Date Deposited:	01 Nov 2022 03:08
Last Modified:	17 May 2023 02:31
URI:	http://repository.umtas.ac.id/id/eprint/1101

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