- Series
- Math Physics Seminar
- Time
- Thursday, October 27, 2022 - 4:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles Room 005
- Speaker
- Joan Gimeno – Universitat de Barcelona & Georgia Institute of Technology – jgimeno@ub.edu
- Organizer
- Michael Loss
With very minor assumptions, I show that periodic orbits in
an ODE can persist under (singular) perturbations of including a delay
term. These perturbations change the phase space from finite to
infinite dimensions. The results apply to electrodynamics and give new
approaches to handle state-dependent, small, nested, and distributed
delays.
I will discuss and explain some motivations, the new methods, sketches
of the proofs, and possible applications. I will end the talk giving
some ideas of work in progress and possible future works.