Symbol calculations the approximate integrals of motion for Hamiltonian systems with N degrees of freedom

• Published in: Вопросы атомной науки и техники
• Date: 2012
• Main Authors: Bogachev, V.E., Chekanov, N.A.
• Format: Article
• Language: English
• Published: National Research University “Belgorod State University” 2012
• Subjects: Section F. Nonlinear Dynamics and Chaos
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/108226
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symbol calculations the approximate integrals of motion for Hamiltonian systems with N degrees of freedom / V.E. Bogachev, N.A. Chekanov // Вопросы атомной науки и техники. — 2012. — № 1. — С. 351-354. — Бібліогр.: 17 назв. — англ.

On the base of the Birkhoff-Gustavson method the algorithm and program in MAPLE for symbol-numerical calculations of the normal form and integrals of motion for resonance and nonresonance Hamiltonian systems with any number of degrees of freedom are developed. Examples of this program's work fo...