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math.DS2026
Dynamics of perturbed elliptical billiard tables
Patrick Bishop, Summer Chenoweth, Emmanuel Fleurantin +2
Dynamical billiards consist of a particle on a two-dimensional table, bouncing elastically off a boundary curve. The state of the system is given by two numbers: one describing the…
math.DS2025
3D Printing of Invariant Manifolds in Dynamical Systems
Patrick R. Bishop, Summer Chenoweth, Emmanuel Fleurantin +3
Invariant manifolds are one of the key features that organize the dynamics of a differential equation. We introduce a novel approach to visualizing and studying invariant manifolds…