摘要
定义相对论性Pfaff作用量 ,得到相对论性Pfaff-Birkhoff原理和相对论性Birkhoff方程 .证明了一类特殊相对论性Chaplygin方程可以直接纳入相对论性Birkhoff方程 ;而一般相对论性Chaplygin方程和相对论性广义Chaplygin方程 ,可先将运动方程表成显形式 ,然后实行Birkhoff化 .
Defining Pfaff action of relativistic systems,the Pfaff-Birkhoff principle and the Birkhoff's equation for relativistic systems are obtain.We prove that special relativistic Chaplygin's equation can be represented directly as the forms of Birkhoff,and general relativistic Chaplygin's equations can be represented as the manifert forms,then which can be represented as forms Birkhoff.The results are all showed that the relativistic Chaplygin dynamical systems can be represented as forms Birkhoffian system.
出处
《商丘师范学院学报》
CAS
2000年第4期10-15,共6页
Journal of Shangqiu Normal University
基金
国家自然科学基金资助课题 !(1 9972 0 1 0 )
河南省自然科学基金资助课题! (9840 531 0 0 )
