A chaotic jerk system with three cubic nonlinearities, dynamical analysis, adaptive chaos synchronization and circuit simulation

Mustafa, M. and Vaidyanathan, S. and Sambas, A. and Zhang, S. and Mujiartob, . and Subiyanto, . (2019) A chaotic jerk system with three cubic nonlinearities, dynamical analysis, adaptive chaos synchronization and circuit simulation. In: 1st International Conference on Computer, Science, Engineering and Technology, 27-28 Nov 2018, West Java, Indonesia.

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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 mode.

Item Type: Conference or Workshop Item (Paper)
Subjects: T Technology > T Technology (General)
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Informatics & Computing
Depositing User: Muhammad Akmal Azhar
Date Deposited: 07 Feb 2021 07:07
Last Modified: 07 Feb 2021 07:07
URI: http://eprints.unisza.edu.my/id/eprint/2588

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