Most of the systems occurring in nature are chaotic i.e. changing initial conditions can lead to vast changes in future. The “butterfly-effect”: the notion that the flap of a butterfly’s wing in Brazil can set off a series of atmospheric events that, weeks later, spurs the formation of a tornado in Texas, motivated us to study chaotic systems.

As part of a project for my Introduction to Sage Math class, we used SageMath and employed a visual and programming heavy treatment to study chaotic systems.

The report can be accessed here.

Some of my favorite images from the work:

Lorentz
Lorentz
Bifurcation Plot

Please email me if you would like to take a peek at the code. I would put it up on github soon.