Introduction to Complex Systems

An interdisciplinary Synthesis and Applications Course in the Sciences

 

 Exploration of Chaotic Dynamics using a Simple Pendulum System

 

1.  The Double Pendulum 

 

2. The Simple Pendulum Simulators:

Horizontally Driven Pendulum

Vertically Driven Pendulum

Pendulum Attached to a Rotating Suspension Point

 

 3.  Sensitive Dependence On Initial Conditions

       The Butterfly Effect (click on the first START button link)

 

 

Just for fun…

       The chaotic water wheel!