The Open Toda Chain with External Forcing

Explore the intricacies of the open Toda chain with external forcing in this 59-minute lecture by Percy Deift, presented at the Workshop on the Role of Integrable Systems dedicated to John Harnad. Delve into two scenarios: when the forcing stretches the chain and when it compresses it. Discover how Juergen Moser's observation is applied to demonstrate the complete integrability of the system when the chain is stretched. Gain insights from this collaborative research involving Luen-Chau Li, Herbert Spohn, Carlos Tomei, and Tom Trogdon. Enhance your understanding of integrable systems and their applications in mathematical physics through this in-depth presentation at the Centre de recherches mathématiques.