ALGORITHMS FOR NORMALIZATION OF HAMILTONIAN-SYSTEMS BY MEANS OF COMPUTER ALGEBRA

Citation
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
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Computer Applications & Cybernetics","Physycs, Mathematical
ISSN journal
00104655
Volume
77
Issue
1
Year of publication
1993
Pages
11 - 18
Database
ISI
SICI code
0010-4655(1993)77:1<11:AFNOHB>2.0.ZU;2-0
Abstract
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.