Lie symmetries and conserved quantities of nonconservative nonholonomic systems in phase space

Authors
Liu, RW Fu, JL
Citation
Rw. Liu et Jl. Fu, Lie symmetries and conserved quantities of nonconservative nonholonomic systems in phase space, APP MATH ME, 20(6), 1999, pp. 635-640
Citations number
8
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
20
Issue
6
Year of publication
1999
Pages
635 - 640
Database
ISI
SICI code
0253-4827(199906)20:6<635:LSACQO>2.0.ZU;2-J
Abstract
The invariance and conserved quantities of the nonconservative nonholonomic systems are studied by introducing the infinitesimal transformations in ph ase space. The Lie' s symmetrical determining equations are established. Th e Lie' s symmetrical structure equation is obtained. An example to illustra te the application of the result is given.