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物理学报  2002 

Integrating factors and conservation laws for the Raitzin''s canonical equations of motion of nonconservative dynamical systems
完整非保守系统Raitzin正则运动方程的积分因子和守恒定理

Keywords: holonomic system,Raitzin's canonical equation,integrating factor,conservation law
完整系统
,Raitzin正则方程,积分因子,守恒定律

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Abstract:

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.

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