Algebraic structures and Poisson integrals of relativistic dynamical equations for rotational systems

Citation
Jl. Fu et al., Algebraic structures and Poisson integrals of relativistic dynamical equations for rotational systems, APP MATH ME, 20(11), 1999, pp. 1266-1274
Citations number
15
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
20
Issue
11
Year of publication
1999
Pages
1266 - 1274
Database
ISI
SICI code
0253-4827(199911)20:11<1266:ASAPIO>2.0.ZU;2-4
Abstract
The algebraic structures of the dynamical equations for the rotational rela tivistic systems are studied. It is found that the dynamical equations of h olonomic conservative rotational relativistic systems and the special nonho lonomic rotational relativistic systems have Lie's algebraic structure, and the dynamical equations of the general holonomic rotational relativistic s ystems and the general nonholonomic rotational relativistic systems have Li e admitted algebraic structure. At last the Poisson integrals of the dynami cal equations for the rotational relativistic systems are given.