Моделювання хаотичних систем: атрактор Лоренца засобами Python

Abstract

The paper investigates the capabilities of the Python programming language for numerical simulation of chaotic dynamical systems using the Lorenz system as an example. An algorithm for numerical integration of the Lorenz equations using Euler's method is implemented, and the phenomenon of sensitivity to initial conditions is analyzed. A threedimensional phase portrait of the attractor and phase trajectories demonstrating the chaotic nature of the system are constructed.