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All Journal TELKOMNIKA (Telecommunication Computing Electronics and Control)
Sundarapandian Vaidyanathan
Vel Tech University Avadi
Computer Science & IT

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Rikitake dynamo system, its circuit simulation and chaotic synchronization via quasi-sliding mode control Yi-You Hou; Cheng-Shun Fang; Chang-Hua Lien; Sundarapandian Vaidyanathan; Aceng Sambas; Mustafa Mamat; Muhamad Deni Johansyah
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 19, No 4: August 2021
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v19i4.17700

Abstract

Rikitake dynamo system (1958) is a famous two-disk dynamo model that is capable of executing nonlinear chaotic oscillations similar to the chaotic oscillations as revealed by palaeomagnetic study. First, we detail the Rikitake dynamo system, its signal plots and important dynamic properties. Then a circuit design using Multisim is carried out for the Rikitake dynamo system. New synchronous quasi-sliding mode control (QSMC) for Rikitake chaotic system is studied in this paper. Furthermore, the selection on switching surface and the existence of QSMC scheme is also designed in this paper. The efficiency of the QSMC scheme is illustrated with MATLAB plots.
A new two-scroll chaotic system with two nonlinearities: dynamical analysis and circuit simulation Sundarapandian Vaidyanathan; Aceng Sambas; Sen Zhang; Yicheng Zeng; Mohamad Afendee Mohamed; Mustafa Mamat
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 17, No 5: October 2019
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v17i5.10650

Abstract

Chaos theory has several applications in science and engineering. In this work, we announce a new two-scroll chaotic system with two nonlinearities. The dynamical properties of the system such as dissipativity, equilibrium points, Lyapunov exponents, Kaplan-Yorke dimension and bifurcation diagram are explored in detail. The presence of coexisting chaotic attractors, coexisting chaotic and periodic attractors in the system is also investigated. In addition, the offset boosting of a variable in the new chaotic system is achieved by adding a single controlled constant. It is shown that the new chaotic system has rotation symmetry about the z-axis. An electronic circuit simulation of the new two-scroll chaotic system is built using Multisim to check the feasibility of the theoretical model. 
Co-Authors Aceng Sambas Chang-Hua Lien Cheng-Shun Fang Mohamad Afendee Mohamed Muhammad Deni Johansyah Mustafa Mamat Mustafa Mamat Sen Zhang Yi-You Hou Yicheng Zeng