A program to compute Birkhoff normal forms of symplectic maps in \(\mathbb{R}^ 4\)

DOI10.1016/0010-4655(94)00140-WzbMath0873.65069OpenAlexW2084221331MaRDI QIDQ1359857

Ezio Todesco, Armando Bazzani, Massimo Giovannozzi

Publication date: 16 October 1997

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(94)00140-w

zbMATH Keywords

Hamiltonianresonancessymplectic mapselliptic fixed pointprogramBirkhoff normal forms

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (3)

Local analysis of formal stability and existence of fixed points in 4d symplectic mappings ⋮ Evaluation of nonlinear resonances in 4D symplectic mappings ⋮ NERO: A code for the nonlinear evaluation of resonances in one-turn mappings

Uses Software

• ARES

Cites Work

• Resonant normal forms, interpolating Hamiltonians and stability analysis of area preserving maps
• Normal forms for symplectic maps of R2n

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