Ii. Shevchenko et Ag. Sokolsky, ALGORITHMS FOR NORMALIZATION OF HAMILTONIAN-SYSTEMS BY MEANS OF COMPUTER ALGEBRA, Computer physics communications, 77(1), 1993, pp. 11-18
Algorithms related to normalization of autonomous Hamiltonian systems
are considered. These include expansion of a Hamiltonian in Taylor ser
ies, linear normalization and, finally, nonlinear normalization. Algor
ithms most appropriate for use in computer algebra systems from the st
andpoint of economy of computer memory are suggested. They are employe
d in a program package written in REDUCE.