A brief description of the developed Maple 8 algorithms for symbolic numerical calculations of the normal form and formal (approximated) integrals of motion by the Birkhoff-Gustavson method for Hamiltonian systems with any degrees of freedom is presented. Poincare sections obtained using the approximated integral of motion and the ones calculated by direct numeric method are compared. It is shown that there is a good agreement between both results in energy domain where classical motion is regular.
Author(s):
Bogachev Vasiliy EvgenievichPosition: Student
Office: National Research University Belgorod State University
Address: Russia, Belgorod
Phone Office: (4722) 21-43-92
E-mail: jancoov@gmail.com
Chekanov Andrey VyacheslavovichPosition: Student
Office: Omsk Branch of Institute of Mathematics SB RAS
Address: 644099, Russia, Omsk
Phone Office: (3812) 23-67-39
E-mail: andy@omskplast.com
