BRANCHING OF THE SOLUTIONS AND POLYNOMIAL INTEGRALS OF THE EQUATIONS OF DYNAMICS

Authors
KOZLOV VV
Citation
Vv. Kozlov, BRANCHING OF THE SOLUTIONS AND POLYNOMIAL INTEGRALS OF THE EQUATIONS OF DYNAMICS, Journal of applied mathematics and mechanics, 62(1), 1998, pp. 1-8
Citations number
17
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
62
Issue
1
Year of publication
1998
Pages
1 - 8
Database
ISI
SICI code
0021-8928(1998)62:1<1:BOTSAP>2.0.ZU;2-J
Abstract
The conditions for branching of the solutions of the equations of moti on of natural mechanical systems in the complex time plane are obtaine d. The relation between the structure of the branching and the number of independent momentum-polynomial first integrals is investigated. Re sults of a general form are illustrated by examples from dynamics. (C) 1998 Elsevier Science Ltd. All rights reserved.