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.

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