Fourth-order Runge-Kutta method for solving Zhou’s chaotic system

Abstract

Many engineering problems can be modeled by ordinary differential equations (ODEs). These problems can be solved by using various methods. In this paper, we will use the Runge-Kutta method of order four (RK4) to solve Zhou’s chaotic system. This method is used because it is the most popular, commonly used compared to other methods, can obtain greater accuracy and does not need the calculation of higher derivatives. We use the Maple software to solve this system and MATLAB to plot the solutions. The results are given for different number of iterations with corresponding range of time, .