Télécom Physique Strasbourg

Projet Mathématiques-Informatique

January 2023

Double-pendulum-simulation-with-Runge-Kutta-4

Chaos theory is a branch of mathematics and physics focused on studying complex, unpredictable systems. To explore this concept further, we examined the motion of a double pendulum. A simple pendulum consists of a point mass suspended by a string, while a double pendulum involves two simple pendulums connected in series. Despite its apparent simplicity, the double pendulum exhibits chaotic behavior, making it an excellent example of a coupled oscillator. In chaotic systems, even the slightest variation in initial conditions can lead to vastly different outcomes, making long-term prediction impossible. Before delving into the double pendulum, we will first review the simple pendulum to introduce key concepts that will be applied later.

Hugo PAGES, Tony PREDIERI, Antonin PIVARD, Clotilde ROUSSET