RNG and circuit implementation of a fractional order chaotic attractor based on two degrees of freedom nonlinear system
Özet
In this study, fractional order form of a chaotic system based on a two degrees of freedom nonlinear mechanical system is considered for the first time in the literature. Firstly, the state variables of the fractional order chaotic attractor are obtained numerically with Grunwald-Letnikov (GL) method. Circuit implementation of the fractional order chaotic attractor is carried out based on the approximated the transfer function of fractional integration. Moreover, a PRNG is designed using the LSB of the state variables. The NIST statistical results of designed PRNG shows that it has adequate randomness. Also, an audio encryption application is realized with the designed PRNG. The performance analysis of the encryption application shows that the designed PRNG can be used in other engineering fields like data security.