Liouville’s Theorem for Hamiltonian Systems Documentation
نویسنده
چکیده
Physical systems can be described in many ways, one of the most significant is by their Hamiltonian function, an equation for the energy of a system. This formulation gave rise to Liouville’s theorem, a theorem about reversibility in classical systems. This project will explore the meaning of this theorem through visualizations of phase space, the set of possible states for a system, and numerically validate it for the cases of a pendulum, double pendulum, and a gravitational mass on a fixed track.
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