Hamiltonian structure of averaged difference systems
type: Item
instance of: scholarly article
title: Hamiltonian structure of averaged difference systems
zbMATH Open document ID: 0707.58021
DOI: 10.1007/BF01158418
author: V. L. Vereshchagin
published in: Mathematical Notes
publication date: 1988-01-01T00:00:00Z
review text: Theorems are derived concerning the Hamiltonian and Lagrangian structure of some averaged difference equations. The problem of reducing a set of equations for slow modulations to diagonal form is studied. The explicit form is given of the averaged Poisson brackets when one averages over the elliptic solutions of Volterra and Toda lattices.
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4161716
zbMATH Keywords: Hamiltonian difference
zbMATH Keywords: dynamical system
zbMATH Keywords: averaged difference equations
zbMATH Keywords: averaged Poisson brackets
MaRDI profile type: Publication
cites work: Q3891079
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cites work: Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
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description: scientific article; zbMATH DE number 4161716