Deep Learning Methods in Mathematical Physics
Speaker: Prof. Ovidiu Calin, Department of Mathematics & Statistics, Eastern Michigan University
Host: S. Baskar
Title: Hamiltonian Systems
Time, day and date: 11:30:00 AM - 12:30:00 PM, Friday, February 20
Venue: Ramanujan Hall
Abstract: This lecture focuses on Hamiltonian systems and their formulation within the Hamiltonian framework. We study classical examples such as the harmonic oscillator, the simple pendulum, and charged particle motion in a magnetic field, and show how neural networks can be used to learn and reproduce Hamiltonian dynamics. Special attention is given to canonical transformations and generating functions, highlighting their role in structure-preserving, data-driven modeling of physical systems.