MATLAB Implementation of Chua's Circuit Simulation Using Fourth-Order Runge-Kutta Method

This article details the step-by-step methodology for implementing Chua's circuit simulation in MATLAB using the fourth-order Runge-Kutta (RK4) algorithm. We begin by explaining the underlying principles of the RK4 method and its mathematical formulation to establish a foundation for understanding the code implementation. The implementation involves modeling Chua's circuit differential equations and configuring system parameters appropriately. We will discuss how to structure the MATLAB code to handle the state-space representation of the circuit, including key functions for defining the nonlinear characteristic of Chua's diode. The RK4 algorithm implementation will be broken down into discrete time steps, with explanations on calculating intermediate slopes and updating state variables. We analyze the advantages and limitations of this numerical approach, along with optimization techniques to improve computational efficiency and accuracy through adaptive step-size control and error tolerance settings. Finally, complete MATLAB code with commented sections and simulation results demonstrating chaotic behavior will be provided for verification and reference purposes.