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FPGA implementation of fractional-order discrete memristor chaotic system and its commensurate and incommensurate synchronisations

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Abstract

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 the chaotic system is hardware realisable.

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Authors and Affiliations

  1. Department of Electrical and Communication Engineering, University of Technology, Lae, Papua New Guinea

    Anitha Karthikeyan & Karthikeyan Rajagopal

  2. Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia

    Anitha Karthikeyan & Karthikeyan Rajagopal

Authors
  1. Anitha Karthikeyan
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  2. Karthikeyan Rajagopal
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Correspondence to Karthikeyan Rajagopal.

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Karthikeyan, A., Rajagopal, K. FPGA implementation of fractional-order discrete memristor chaotic system and its commensurate and incommensurate synchronisations. Pramana - J Phys 90, 14 (2018). https://doi.org/10.1007/s12043-017-1507-8

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  • DOI: https://doi.org/10.1007/s12043-017-1507-8

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