Chaotic systems have remarkable importance in capturing some complex features of the physical process. Recently, fractional calculus becomes a vigorous tool in characterizing the dynamics of complex systems. The fractional-order chaotic systems increase the chaotic behavior in new dimensions and add extra degrees of freedom, which increase system controllability. In this chapter, FPGA implementation of different integer and fractional-order chaotic systems is presented. The investigated integer-order systems include Chua double scroll chaotic system and the modified Chua N-scroll chaotic system. The investigated fractional-order systems include Chua, Yalcin et al., Ozuogos et al., and Tang et al., chaotic systems. These systems are implemented and simulated based on the GrunwaldLetnikov (GL) definition with different window sizes. The parameters effect, along with different GL window sizes is investigated where some interesting chaotic behaviors are obtained. The proposed FPGA implementation utilizes fewer resources and has high throughput. Experimental results are provided on a digital oscilloscope. © Springer Nature Switzerland AG 2020.
Abd El-Maksoud A.J., Abd El-Kader A.A., Hassan B.G., Rihan N.G., Tolba M.F., Said L.A., Radwan A.G., Abu-Elyazeed M.F.
Chaotic systems; Chuas circuit; Double scroll; FPGA; Fractional-order circuits
Studies in Computational Intelligence, Vol. 884, PP. 199 to 229, Doi: 10.1007/978-3-030-38700-6_9