A universal enhanced FPGA implementation of the fractional-order chaotic system
In order to solve the problem of the low degree of general purpose of the FPGA design and imple-mentation of fractional-order chaotic system,a universal enhanced FPGA algorithm is presented in this pa-per.Firstly,the principle of fractional differential algorithm based on G-L definition is given.Then,a known three-dimensional integer-order chaotic system is extended to fractional multi-scroll chaotic system,and its dynamic characteristics are analyzed by means of equilibrium points,bifurcation diagrams and maxi-mum Lyapunov exponential spectrum.Finally,a universal enhanced FPGA algorithm of fractional-order dif-ferential is designed by using variable length shifting registers,and it is applied to the fractional-order multi-scroll chaotic system.Experiment results are consistent with the results of numerical simulations,when modifying parameters in this algorithm,there is no need to design a new code,and the memory length can be dynamically adjusted,and there is no strict limit on step.
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