摘要
提出了经典非保守动力学系统守恒定律构成的一般途径 .首先 ,给出积分因子的定义 .其次 ,详细地研究了守恒量存在的必要条件 ,建立了完整非保守系统Raitzin正则运动方程的守恒定理及其逆定理 。
A general approach to the construction of conservation laws for classical nonconservative dynamical systems was presented. First, the definition of integrating factors was given. Next, necessary conditions for the existence of conserved quantities were studied in detail. Then the conservation theorem and its inverse for the Raitzin's canonical equations of motion of nonconservative dynamical systems were established. Finally, an example to illustrate the application of the result wsa given.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2002年第8期1661-1665,共5页
Acta Physica Sinica
基金
国家自然科学基金 (批准号 :19872 0 2 2 )资助的课题~~
