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Memristor; discretisation; fractional order; synchronisation; field programmable gate arrays

A new fourth-order memristor chaotic oscillator is taken to investigate its fractional-order discrete synchronisation. The fractional-order differential model memristor system is transformed to its discrete model and the dynamic properties of the fractional-order discrete system are investigated. A new method for synchronising commensurate and incommensurate fractional discrete chaotic maps are proposed and validated. Numerical results are established to support the proposed methodologies. This method of synchronisation can be applied for any fractional discrete maps. Finally the fractional-order memristor system is implemented in FPGA to show that thechaotic system is hardware realisable.

ANITHA KARTHIKEYAN^{1 2} KARTHIKEYAN RAJAGOPAL^{1 2}

1. Department of Electrical and Communication Engineering, University of Technology, Lae, Papua New Guinea
2. Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia

Published

10 January 2018

Manuscript received

10 August 2017

Manuscript revised

4 September 2017

Accepted

5 September 2017

Early published

Unedited version published online

Final version published online

30 December 2017