
CONNEXION OF FIRST INTEGRALS WITH PARTICULAR SOLUTIONS OF THE VARIATIONAL EQUATIONS FOR SYSTEMS OF GENERALIZED CLASSICAL MECHANICS
Author(s) -
Zhang Yi
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.2059
Subject(s) - analytical mechanics , integral equation , variational integrator , mathematics , classical mechanics , mathematical analysis , physics , quantum statistical mechanics , quantum mechanics , quantum , voltage , integrator
This paper presents the variational equations for systems of generalized classical mechanics and studies the connexion of their solutions with the first integrals of the systems. By using a first integral, a particular solution of the variational equations is obtained and an example is given.