Langford Chaotic Attractor

Langford Chaotic Attractor

Alexis Ventura

10/31/2023. Fall 2023.

George Mason University 401: Mathematics Through 3D Printing.

For the following print, the topic that was concentrated was “Chaotic Attractors”. The chaotic attractors (Lorenz, Rossler, Langford, Arneodo-Coullet-Tresser/Rucklidge, etc.) are functional with several variables to create a dynamical system implying certain periodic orbits of such chaotic attractors in the third dimension. Each attractor is comprised of its own ordinary differential equations (ODEs) and parameterization to create their chaotic model. In addition to this, the sensitive dependence and transitivity are the main ingredients for the model to be in a chaotic state.

The Langford Chaotic Attractor is the focus of the printed model. The attractor was studied and discovered by William F. Langford. In his discovery, the model of the chaotic attractor “undergoes a supercritical Neimark Sacker bifurcation resulting in the appearance of a s