Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems
Li Ren-Jie (李仁杰)a, Qiao Yong-Fen (乔永芬)a, Liu Yang (刘洋)b
a Engineering College of Northeast Agriculture University, Harbin 150003, China; b Civil Engineering College of Harbin Engineering University, Harbin 150001, China
Abstract We present a general approach to the construction of conservation laws for variable mass nonholonomic nonconservative systems. First, we give the definition of integrating factors, and we study in detail the necessary conditions for the existence of the conserved quantities. Then, we establish the conservation theorem and its inverse theorem for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems. Finally, we give an example to illustrate the application of the results.
Received: 31 December 2001
Revised: 10 April 2002
Accepted manuscript online:
(Canonical formalism, Lagrangians, and variational principles)
Fund: Project supported by the Natural Science Foundation of Heilongjiang Province, China (Grant No 9507).
Cite this article:
Li Ren-Jie (李仁杰), Qiao Yong-Fen (乔永芬), Liu Yang (刘洋) Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems 2002 Chinese Physics 11 760
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
