From the Birkhoff-Gustavson normalization to the Bertrand-Darboux integrability condition

DOI10.1088/0305-4470/33/37/315zbMath0965.70027arXivnlin/0005027OpenAlexW3104786777MaRDI QIDQ4520689

Yoshio Uwano

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0005027

zbMATH Keywords

inverse problemcomputer algebraBertrand-Darboux integrability conditionBirkhoff-Gustavson normalizationhomogeneous cubic-polynomial potentialhomogeneous quartic-polynomial potential

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

This page was built for publication: From the Birkhoff-Gustavson normalization to the Bertrand-Darboux integrability condition