Strange Attractors are a set of 3D parametric derivatives that describe the gradient of an oscillating system. They were discovered/derived while using the Navier-Stokes equation to study oscillating systems such as chemical reactions and weather patterns. I decided to research them and from my research, I produced this project. The main product of this project can be found here, a website where you can change the color, length, and equations that describe these beautiful systems. Since they are 3D you can also spin them around and zoom in and out. I first learned about these systems a while ago from a coding train video and my other sources to find and understand these strange attractors are found below.
Since there are certain points that either are stable or blow up to infinity I wanted to try to graph this region. These are some of the results:
Images generated using Texas A&M High Performance Research Computing utilities.