"What Happens If You Periodically Force A Nonlinear Oscillator?" is the title of the talk to be presented by Jim Walsh, professor of mathematics at Oberlin.
Abstract: As the damped case is covered in PHYS 314, Professor Walsh will focus on undamped and periodically forced nonlinear oscillators. In this setting, the forced oscillator can exhibit a stunning mix of regular and chaotic motions.
A simple model—having its roots in Oberlin’s Department of Physics and Astronomy—will be used to illuminate the theory of Kolmogorov, Arnol’d and Moser, the profound 20th-century mathematical achievement that resolved deep questions related to such forced oscillators.
Additionally, KAM theory will be placed within its historical context, namely, the quest to determine the stability of the solar system.
A reception for Professor Walsh begins at 4:10 p.m. in the Anderson Lounge, Wright Lab, second floor.