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

Qiao Yong-Fen | Zendy; Zhang Yao-liang | Zendy; Han Guang-cai | Zendy

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

Author(s) -

Qiao Yong-Fen,

Zhang Yao-liang,

Han Guang-cai

Publication year - 2003

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.52.1051

Subject(s) - infinitesimal , nonholonomic system , canonical form , classical mechanics , canonical coordinates , mechanical system , conserved quantity , relation (database) , physics , mathematical physics , mathematics , mathematical analysis , computer science , pure mathematics , quantum mechanics , robot , artificial intelligence , mobile robot , database , phase space

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.

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