Chaos in the Double Pendulum

Theoretical Physics Group Project – January 31, 2023
This repository contains our code.

Paper Available: 10.13140/RG.2.2.13267.03365

University of Glasgow – Group Project (PHYS4029P)

Co-developed by:

• Bartosz Sobula (2557113s)
• Nathan Weir (2565037w)

Overview

This project explores the behavior of both the simple and double pendulum using mathematical models and numerical simulations. We employ the Runge-Kutta 4 (RK4) method to analyze the dynamics under various conditions.

Objectives

• Investigate the factors influencing pendulum motion.
• Demonstrate how these factors can be controlled in a simple pendulum.
• Highlight the chaotic behavior of the double pendulum, showing how small differences in initial conditions lead to vastly different outcomes over time.

Contents

• Report – Detailed analysis of our findings.
• Presentations – Slides summarizing key insights.
• Code & Simulations – RK4 implementations for modeling pendulum motion.

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© 2023 University of Glasgow – Theoretical Physics Group