A Chaotic Jerk System with Three Cubic Nonlinearities, Dynamical Analysis, Adaptive Chaos Synchronization and Circuit Simulation

S. Vaidyanathan, - and Aceng Sambas, - and S. Zhang, - and Mujiarto, - and M. Mamat, - and Subiyanto, - (2019) A Chaotic Jerk System with Three Cubic Nonlinearities, Dynamical Analysis, Adaptive Chaos Synchronization and Circuit Simulation. Journal of Physics: Conference Series, 1179. 012083. ISSN 17426588; 17426596

	Text Vaidyanathan_2019_J._Phys.__Conf._Ser._1179_012083.pdf - Published Version Download (1MB)
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Official URL: https://iopscience.iop.org/issue/1742-6596/1179/1

Abstract

A 3-D new chaotic jerk system with three cubic nonlinearities is proposed in this paper. The dynamical properties of the new jerk system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry, dissipativity, etc. Also, a detailed dynamical analysis of the jerk system has been carried out with bifurcation diagram and Lyapunov exponents. As an engineering application, adaptive synchronization of the new chaotic jerk system with itself is designed via backstepping control method. Furthermore, an electronic circuit realization of the new chaotic jerk system is presented in detail to confirm the feasibility of the theoretical chaotic jerk model.

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Item Type:	Article
Divisions:	Fakultas Teknik > Karya Dosen
Depositing User:	Tsani Karimah
Date Deposited:	01 Nov 2022 01:45
Last Modified:	17 May 2023 01:22
URI:	http://repository.umtas.ac.id/id/eprint/1097

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