Calculate Maximum Lyapunov Exponent

In this context, I would like to further elaborate on your requirements. When we state "fast execution speed with error-free code," we are not merely describing basic program specifications but emphasizing its crucial characteristics. Such excellent programs indeed execute rapidly, but we must also consider additional factors such as resource utilization and response time. Equally important is that the code should maintain high quality - not only being free from errors but also designed for easy maintenance and extensibility. Therefore, during code development, careful consideration of algorithms and data structures is essential to ensure program reliability and efficiency. For computing Lyapunov exponents, efficient numerical integration methods (like Runge-Kutta algorithms) and proper phase space reconstruction techniques are critical implementation aspects. Proper memory management and vectorization techniques in MATLAB/Python can significantly enhance computational performance. Ultimately, we must treat execution speed and code quality as core objectives in program development, continuously optimizing them during implementation through performance profiling and systematic testing methodologies.