Continuous Time Chaotic Systems for Whale Optimization Algorithm

Abstract

Discrete time chaotic systems are often used instead of random number arrays in order to improve the convergence properties of optimization algorithms and prevent them to get stuck on local solutions. In this study, discrete-time and continuous-time chaotic systems are employed to improve the performance of Whale Optimization Algorithm (WOA), for the first time. It is suggested to use continuous-time chaotic systems instead of discrete-time systems in some cases. Using 23 benchmark functions and two engineering problems, one-dimensional chaotic maps and continuous time chaotic systems were analyzed on WOA. The results show that especially in multidimensional problems the use of the continuous time chaotic system can improve the performance of the algorithm and provide faster convergence.