Dynamics of periodic Toda chains with a large number of particles

Bambusi, D; Kappeler, Thomas; Paul, T

doi:10.1016/j.jde.2015.01.031

Citations

Citation copied

Bambusi, D., Kappeler, T., & Paul, T. (2015). Dynamics of periodic Toda chains with a large number of particles. Journal of Differential Equations, 258(12), 4209–4274. https://doi.org/10.1016/j.jde.2015.01.031

Abstract

For periodic Toda chains with a large number $N$ of particles we consider states which are $N^{-2}$-close to the equilibrium and constructed by discretizing any given $C^2$-functions with mesh size $N^{-1}$. For such states we derive asymptotic expansions of the Toda frequencies ($\omega^N_n$)$_{0