Global Birkhoff coordinates for the periodic Toda lattice

Abstract

In this paper we prove that the periodic Toda lattice admits globally defined Birkhoff coordinates.

32 pages

References in corpus (3)

• Normal form theory for the NLS equation
• Global action-angle variables for the periodic Toda lattice
• Resonant normal form for even periodic FPU chains

Cited by in corpus (8)

• Birkhoff coordinates for the Toda Lattice in the limit of infinitely many particles with an application to FPU
• Hydrodynamic Equations for the Toda Lattice
• Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit
• Nekhoroshev theorem for the periodic Toda lattice
• Some analytic results on the FPU paradox
• Global action-angle variables for the periodic Toda lattice
• Convergence to normal forms of integrable PDEs
• From Lagrangian Products to Toric Domains via the Toda Lattice