Visualizing Strange Chaotic Attractors
These 3D printed objects are designed and printed by students in Math 401, Fall 2019, taught by Instructor Dr. Evelyn Sander with the assistance of Chloe Ham and Colin Chung.
Chaotic solutions for differential equations
Solutions to 3-dimensional systems of differential equations can be quite simple, such as a point that never moves, or a periodic motion that repeats forever. It can also be quite complicated, such as these prints. Each is a solution to a differential equation which is a
Strange: the object has interesting fractal shapes with many gaps
Chaotic: for two nearby initial conditions, solutions will move away from each other
Attractor: any nearby initial condition has a solution limiting to the shape you see
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