20 citations · 43 across the 6 of their papers we have counts for
7 papers
Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions
Andreas Henrici
Symmetries of the periodic Toda lattice are expresssed in action-angle coordinates and characterized in terms of the periodic and Dirichlet spectrum of the associated Jacobi matric…
Nekhoroshev theorem for the periodic Toda lattice
Andreas Henrici, Thomas Kappeler
The periodic Toda lattice with sites is globally symplectomorphic to a two parameter family of coupled harmonic oscillators. The action variables fill out the whole posit…
Global Birkhoff coordinates for the periodic Toda lattice
Andreas Henrici, Thomas Kappeler
In this paper we prove that the periodic Toda lattice admits globally defined Birkhoff coordinates.
Global action-angle variables for the periodic Toda lattice
Andreas Henrici, Thomas Kappeler
In this paper we construct global action-angle variables for the periodic Toda lattice.
Resonant normal form for even periodic FPU chains
Andreas Henrici, Thomas Kappeler
In this paper we investigate periodic FPU chains with an even number of particles. We show that near the equilibrium point, any such chain admits a \emph{resonant} Birkhoff normal…
Normal form for odd periodic FPU chains
Andreas Henrici, Thomas Kappeler
In this paper we prove that near the equilibirum position any periodic FPU chain with an odd number of particles admits a Birkhoff normal form up to order 4, and we obtain an expli…