Authors
Citation
Vi. Orekhov, DUAL PARAMETRIZATION OF THE BIFURCATION SET OF A MECHANICAL SYSTEM WITH QUADRATIC INTEGRALS, Journal of applied mathematics and mechanics, 61(3), 1997, pp. 363-369
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
ISSN journal
00218928
Volume
61
Issue
3
Year of publication
1997
Pages
363 - 369
Database
ISI
SICI code
0021-8928(1997)61:3<363:DPOTBS>2.0.ZU;2-M
Abstract
A well-known scheme of topological analysis [1] is extended to the cas
e of three or more integrals which are quadratic functions of the velo
city. The bifurcation set is parametrized by Lagrange multipliers, whi
ch corresponds to a transition to the dual surface. As an example, the
motion of a rigid body in a field with quadratic potential is conside
red. (C) 1997 Elsevier Science Ltd. All rights reserved.