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

Abstract


This paper reported the finding of a new two-scroll chaotic system possessing two nonlinearities. The dynamical properties of the system such as dissipativity, equilibrium points, Lyapunov exponents, Kaplan-Yorke dimension and bifurcation diagram were studied in detail. The presence of coexisting chaotic attractors, coexisting chaotic and periodic attractors in the system was investigated. In addition, the offset boosting of a variable was achieved by adding a single controlled constant. It was shown that the new chaotic system has rotation symmetry about the z-axis. An electronic circuit simulation of the new two-scroll chaotic system was built using Multisim to check the feasibility of the model.  


Keywords


Chaos, chaotic systems, two-scroll systems, circuit simulation

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DOI: http://dx.doi.org/10.12928/telkomnika.v17i5.10650

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