Site icon Gereshes

Attracted to Attractors

What are Attractors

Attractors, in dynamical systems are structures that a lot of initial conditions evolve to over time. When the dynamics are chaotic, if an attractor exists, they often have a fractal structure which makes them gorgeous to visualize and are called strange attractors. Below are three, 3-dimensional strange attractors as well as the differential equations that generate them.

Thomas’ Cyclically Symmetric Attractor

Thomas’ Cyclically Symmetric attractor is governed by the following 3 differential equations

Rossler Attractor

The Rossler attractor is governed by the following 3 equations

Lorenz Attractor

The Lorenz attractor is governed by the following 3 equations

Code

The uncleaned up code can be found here.

Want More Gereshes

If you want to receive the weekly Gereshes blog post directly to your email every Monday morning, you can sign up for the newsletter here! Don’t want another email? That’s ok, Gereshes also has a twitter account and subreddit!

Exit mobile version