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

Pramana: Journal of physics

KARTHIKEYAN RAJAGOPAL^1,2¹  ANITHA KARTHIKEYAN^1,2² 

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

关键词: Memristor;    discretisation;    fractional order;    synchronisation;    field programmable gate arrays;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

CC BY