THE LYAPUNOV-POINCARE METHOD IN THE THEORY OF PERIODIC MOTIONS

Authors
TKHAI VN
Citation
Vn. Tkhai, THE LYAPUNOV-POINCARE METHOD IN THE THEORY OF PERIODIC MOTIONS, Journal of applied mathematics and mechanics, 62(3), 1998, pp. 325-339
Citations number
16
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
62
Issue
3
Year of publication
1998
Pages
325 - 339
Database
ISI
SICI code
0021-8928(1998)62:3<325:TLMITT>2.0.ZU;2-1
Abstract
The problem of the periodic motions of a system with a small parameter is solved. The non-rough cases, when the problem cannot be solved by a generating system obtained for a zero value of the small parameter, are investigated. Lyapunov's idea of using a new generating system whi ch already contains the small parameter is systematically developed. S ystems of general form, inverse systems and systems close to inverse a re investigated. (C) 1998 Elsevier Science Ltd. All rights reserved.