Department of Mathematics

Dynamical Systems

  •  Jing Zhou, Penn State University
  •   Uniqueness of equilibrium state for Lorenz attractors
  •  07/19/2022
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  Huyi Hu (hhu@msu.edu)

In this talk we show the existence of an infinite measure set of exponentially escaping orbits for a resonant Fermi accelerator, which is realized as a square billiard with a periodically oscillating platform. We use normal forms to describe the energy change in a period and employ techniques from the theory of hyperbolic systems with singularities to show the exponential drift given by these normal forms on a divided time-energy phase.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science