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
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.