Emulating "chaos + Chaos = Order" in Chen's Circuit of Fractional Order by Parameter Switching

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Detail(s)

Original languageEnglish
Article number1650096
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume26
Issue number6
StatePublished - 15 Jun 2016

Abstract

In this paper, the effect of the parameter switching (PS) algorithm in a fractional order chaotic circuit is investigated both in simulation and experiment. The Chen system of fractional order is focused and realized in an electronic circuit. By designing a switching circuit, the PS algorithm is implemented and it is the first time, the paradoxical "Chaos + Chaos = Order" is presented in an electronic circuit. Both the simulation and experimental results confirm that the obtained attractor under switching approximates the attractor of the time-averaged model. Some important design issues for the circuitry realization of the PS scheme are pointed out. Finally, our work confirms the practical usage of PS algorithm in potential applications such as attractor synthesis and chaos control.

Research Area(s)

  • Chaos, Chen's circuit, fractional-order system, parameter switching