1. Numerical Analysis Project
MA3232
LCDR Aaron Hay
LCDR Heather Mattern
LT Mike Holihan

2. Outline
Background
Equation Development
MATLAB Code
Chaos Theory

3. Background
The double pendulum is an example of a simple dynamical system that exhibits complex behavior, including chaos. It consists of two point masses at the end of light rods. Each mass plus rod is a regular simple pendulum, and the two pendula are joined together and the system is free to oscillate in a plane.
The double pendulum is an example of a simple dynamical system that exhibits complex behavior, including chaos. It consists of two point masses at the end of light rods. Each mass plus rod is a regular simple pendulum, and the two pendula are joined together and the system is free to oscillate in a plane.

4. Double Pendulum

5. Kinematics of the Double Pendulum

6. Kinematics of the Double Pendulum

7. Forces in the Double Pendulum

8. Equations of Motion

9. Numerical Solution

10. MATLAB
Single Pendulum

11. Chaos Theory
Two Pendula

12. References
Kawski, Matthias. MATLAB resources. June 2,
Weisstein, Eric. World of Physics. June 2,

13. Questions

14. Backup Slides