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Yicheng Zeng
Xiangtan University
Computer Science & IT

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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 Mohamad Afendee Mohamed Mustafa Mamat Sen Zhang Sundarapandian Vaidyanathan