Applied Mathematics Project Library

Driven Duffing Oscillator

Enter project description. Display MATLAB code. Display Poincare Map Simulation

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The Double Pendulum Fractal

The goal of this project is to 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 employ a numerical analysis to confirm my analytical derivations. The final result is a beautiful fractal map.

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