Percy Deift - New York University
Wednesday, November 22nd, 10:45AM EST (Zoom meeting starts at 10:30 EDT)
On the open Toda chain with external forcing
We consider the open Toda chain with external forcing, and in the case when the forcing stretches the system, we derive the longtime behavior of solutions of the chain. Using an observation of Jürgen Moser, we then show that the system is completely integrable, in the sense that the 2N-dimensional system has N functionally independent Poisson commuting integrals, and also has a Lax-Pair formulation. In addition, we construct action-angle variables for the flow. In the case when the forcing compresses the system, the analysis of the flow remains open.