Learn to implement a fourth-order Runge-Kutta integrator in both Python and MATLAB, and apply it to simulate the chaotic Lorenz 1963 system. Begin with a problem setup and introduction to the Lorenz 1963 example, followed by a detailed walkthrough of the MATLAB code implementation. Conclude with a Python code example, demonstrating how to create the integrator in both programming languages. Gain practical insights into numerical integration techniques and their application to complex dynamical systems through this hands-on coding tutorial.