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

Xia Li-Li; Li Yuan-Cheng; Wang Jing; Hou Qi-Bao

doi:10.7498/aps.55.4995

Abstract
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.

Keywords:
nonholonomic mechanical system of non-Chetaev’s type /

controllable mechanical system /

Noether-form invariance /

conserved quantity
Authors and contacts
Xia Li-Li,

Li Yuan-Cheng,

Wang Jing,

Hou Qi-Bao

1.
中国石油大学(华东)物理科学与技术学院，东营 257061
References

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Vol. 55, Issue 10 - 2006-05-20

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

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

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