Chaos and the Double Pendulum

Chaos I’ve recreated one of my favorite mathematical demonstrations below.  Three double pendulums, all starting with near identical initial conditions, all rapidly diverging. I love this demonstration because it’s such a great example of chaotic dynamics. What is Chaos? Chaotic dynamics, in a nutshell, means that a system is extremely sensitive to initial conditions. That…

Flow Visualization

Intro on Lab ” All models are wrong; some models are usefull” -George Box Learning about concepts in class can only take you so far. They present the world, often in simplified terms, as a totally understandable place governed by simple, knowable equations. They say things like, ignore viscous drag,  assume acceleration due to gravity…