Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type | Zendy

Lili Xia | Zendy; Li Yuan-Cheng | Zendy; Jing Wang | Zendy; Hou Qi-Bao | Zendy

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Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type

Author(s) -

Lili Xia,

Li Yuan-Cheng,

Jing Wang,

Hou Qi-Bao

Publication year - 2006

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.55.4995

Subject(s) - noether's theorem , nonholonomic system , physics , type (biology) , mathematical physics , classical mechanics , mechanical system , computer science , lagrangian , artificial intelligence , ecology , biology , robot , mobile robot

Based on the total time derivative along the trajectory of the system, the definition and the criterion of Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type are presented. A new conserved quantity, as well as the Noether conserved quantity are deduced from the Noether-form invariance. An example is given to illustrate the application of the result.

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