We study ODE event models and show how they can be used to detect hard disk collisions in models such as the ideal gas and Newton's cradle. We also introduce discrete maps and Poincare sections.
The following models use ODE events to detect collisions between hard objects (disks or spheres).
The following models explore iterative maps:
The following dynamical systems are investigated using Poincare maps:
Additional models may be be posted for self-study.
Be sure and review conservation of momentum in 2-dimensions as you study the 2D collision models.