
AMEP Workspace
Exploring the Interconnectedness of Applied Mathematics, Engineering, and Physics


Tyler Jones
Reduced Order Modeling of Turbulent Fluid Systems in Computational Fluid Dynamics
(In Progress)




The Double Pendulum Fractal


Inspiration
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

Contact
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