STUDY ON DYNAMICS OF RELATIVISTIC BIRKHOFF SYSTEMS
Jing-Li Fu, CHEN LI-QUN, Luo Shao-Kai, Xiangwei Chen, Wang Xin-Min, (1)商丘师范学院数学力学与数学物理研究所,商丘476000; (2)上海大学上海市应用数学与力学研究所,上海200072 · Acta Physica Sinica · 2001
The Birkhoffian, the Birkhoff's functions, the Pfaff action, the Pfaff-Birkhoff principle and the Birkhoff equations of relativistic Birkhoff systems are given. The Birkhoff representation of relativistic dynamical systems is studied. Then the theory of Noether symmetries and Lie symmetries of the relativistic Birkhoff systems is obtained by the invariance of relativistic Pfaff action and relativistic Birkhoff equations under infinitesimal transformations. Finally the algebraic structure and Poisson integrals for the relativistic Birkhoff systems are studied.