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math.DS2024
Finding Birkhoff Averages via Adaptive Filtering
Maximilian Ruth, David Bindel
In many applications, one is interested in classifying trajectories of Hamiltonian systems as invariant tori, islands, or chaos. The convergence rate of ergodic Birkhoff averages c…
math.DS2023
Level Set Learning for Poincaré Plots of Symplectic Maps
Maximilian Ruth, David Bindel
Many important qualities of plasma confinement devices can be determined via the Poincaré plot of a symplectic return map. These qualities include the locations of periodic orbits,…