On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
type: Item
instance of: scholarly article
title: On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
zbMATH Open document ID: 0842.58020
DOI: 10.1007/BF02188219
author: Giancarlo Benettin
author: Antonio Giorgilli
published in: Journal of Statistical Physics
publication date: 1995-11-09T00:00:00Z
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 796305
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: symplectic integration
zbMATH Keywords: perturbation theory
zbMATH Keywords: symplectic mappings
MaRDI profile type: Publication
cites work: Q5559761
cites work: The equivalence of von Zeipel mappings and Lie transforms
cites work: Equivalence for lie transforms
cites work: Canonical transformations depending on a small parameter
cites work: Symplectic integration of Hamiltonian systems
cites work: The accuracy of symplectic integrators
cites work: Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I
cites work: Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. II
cites work: Lie series method for vector fields and Hamiltonian perturbation theory
cites work: On the Landau-Teller approximation for energy exchanges with fast degrees of freedom
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description: scientific article; zbMATH DE number 796305