AMEP Workspace

Exploring the Interconnectedness of Applied Mathematics, Engineering, and Physics

Newest Project
Tyler Jones

Lagrangian Coherent Structures in Computational Fluid Dynamics (In Progress)

The Double Pendulum Fractal

Inspiration
The Double Pendulum Fractal by Jeremy S. Heyl
Goal

Apply my knowledge of Lagrangian and Hamiltonian formalisms (Physics 311) as well as applied dynamical systems (Math 415/519) to predict when the second pendulum will 'flip'. Unlike the simple pendulum one might analyze in an introductory physics class, the double pendulum is chaotic; hence, I have employed numerical methods to solve the equations of motion which is then validated by my analytical derivations. The final result is a beautiful fractal.

Results
The Double Pendulum Fractal by Tyler Jones

Contact

Please share your thoughts on how I can enhance this portfolio or ask questions related to applied mathematics, engineering, and physics. Your feedback is invaluable in shaping this space. Additionally, feel free to propose project ideas or topics you'd like to see explored. Your insights matter!