Vedat Çelik

A new S-box construction method based on the fractional-order chaotic Chen system

Since substitution box (S-box) is the only nonlinear component related to confusion properties for many block encryption algorithms, it is a necessity for the strong block encryption algorithms. S-box is a vital component in cryptography due to having the effect on the security of entire system. Therefore, alternative S-box construction techniques have been proposed in many researches. In this study, a new S-box construction method based on fractional-order (FO) chaotic Chen system is presented. In order to achieve that goal, numerical results of the FO chaotic Chen system for

Chaotic dynamics of the fractional order nonlinear system with time delay

a= 35, b=3, c=28

The effects on stability region of the fractional-order PI controller for one-area time-delayed load–frequency control systems

a=35,b=3,c=28 and

The Real Time Implementation of a Chaotic System’s Synchronization for Secure Communication

\alpha =0.9

Tuning of Optimal Classical and Fractional Order PID Parameters forAutomatic Generation Control Based on the Bacterial Swarm Optimization

α=0.9 are obtained by employing the predictor–corrector scheme. Besides, a simpler algorithm is suggested for the construction of S-box via time response of the FO chaotic Chen system. The performance of suggested S-box design is compared with other S-box designs developed by chaotic systems, and it is observed that this method provides a stronger S-box design.

Implementation of Two Cell Non-Autonomous CNN Model on FPGA

This paper deals with the fractional order model of the two-cell autonomous Delayed Cellular Neural Network which exhibits chaotic behavior. Numerical simulation results demonstrate that the chaos can be observed in fractional order Delayed Cellular Neural Network for fractional order q ≥ 0. 1. Also the τ delay time values for which the chaos occurs in q system order, is quantitatively defined using largest Lyapunov exponents.