A NEW ALGORITHM FOR BIRKHOFF NORMALIZATION OF HAMILTONIAN-SYSTEMS

Authors
ZHURAVLEV VF
Citation
Vf. Zhuravlev, A NEW ALGORITHM FOR BIRKHOFF NORMALIZATION OF HAMILTONIAN-SYSTEMS, Journal of applied mathematics and mechanics, 61(1), 1997, pp. 9-13
Citations number
7
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
61
Issue
1
Year of publication
1997
Pages
9 - 13
Database
ISI
SICI code
0021-8928(1997)61:1<9:ANAFBN>2.0.ZU;2-8
Abstract
Existing multidimensional recurrent algorithms for the normalization o f Hamiltonian systems are replaced by a one-dimensional algorithm, tha t is, the whole procedure of computing the normal form is reduced to a single recurrent formula. This simplification is achieved by using th e ring of asymptotic approximations of fixed order rather than Taylor series in powers of a formal parameter. (C) 1997 Elsevier Science Ltd. All rights reserved.