Form invariance of Hamilton's canonical equations of a nonholonomic mechanical s ystem

Qiao Yong-Fen; Zhang Yao-Liang; Han Guang-Cai

doi:10.7498/aps.52.1051

Abstract
In this paper,a form invariance of Hamilton's canonical equations of a nonholonomic mechanical system is studied.First,the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given .Next,the relation between the form invariance and the conserved quantity of the system is established.Finally,an example is given to illustrate the application of the result.

Keywords:
nonholonomic system /

Hamilton's canonical equation /

form invariance /

conserved q uantity
Authors and contacts
Qiao Yong-Fen¹,

Zhang Yao-Liang²,

Han Guang-Cai²

(1)东北农业大学工程学院,哈尔滨 150030; (2)哈尔滨工程大学二系,哈尔滨 150001
References

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Vol. 52, Issue 5 - 2003-03-05

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Form invariance of Hamilton's canonical equations of a nonholonomic mechanical s ystem

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Form invariance of Hamilton's canonical equations of a nonholonomic mechanical s ystem

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