Characteristic functional structure of infinitesimal symmetry transformations for nonholonomic system

Hong Bin Zhang; Li Qun Chen

doi:10.1007/s11741-005-0065-3

Characteristic functional structure of infinitesimal symmetry transformations for nonholonomic system

Hong Bin Zhang^*
, Li Qun Chen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

It was proved that velocity-dependent infinitesimal symmetry transformations of nonholonomic systems have a characteristic functional structure, which could be formulated by means of an auxiliary symmetry transformation function and is manifestly dependent upon constants of motion of the system. An example was given to illustrate the applicability of the results.

Original language	English
Pages (from-to)	134-138
Number of pages	5
Journal	Journal of Shanghai University
Volume	9
Issue number	2
DOIs	https://doi.org/10.1007/s11741-005-0065-3
State	Published - Apr 2005
Externally published	Yes

Keywords

analytical mechanics
characteristic functional structure
constant of motion
nonholonomic system
velocity-dependent infinitesimal symmetry transformation

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10.1007/s11741-005-0065-3

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title = "Characteristic functional structure of infinitesimal symmetry transformations for nonholonomic system",

abstract = "It was proved that velocity-dependent infinitesimal symmetry transformations of nonholonomic systems have a characteristic functional structure, which could be formulated by means of an auxiliary symmetry transformation function and is manifestly dependent upon constants of motion of the system. An example was given to illustrate the applicability of the results.",

keywords = "analytical mechanics, characteristic functional structure, constant of motion, nonholonomic system, velocity-dependent infinitesimal symmetry transformation",

author = "Zhang, \{Hong Bin\} and Chen, \{Li Qun\}",

year = "2005",

month = apr,

doi = "10.1007/s11741-005-0065-3",

language = "英语",

volume = "9",

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journal = "Journal of Shanghai University",

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T1 - Characteristic functional structure of infinitesimal symmetry transformations for nonholonomic system

AU - Zhang, Hong Bin

AU - Chen, Li Qun

PY - 2005/4

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N2 - It was proved that velocity-dependent infinitesimal symmetry transformations of nonholonomic systems have a characteristic functional structure, which could be formulated by means of an auxiliary symmetry transformation function and is manifestly dependent upon constants of motion of the system. An example was given to illustrate the applicability of the results.

AB - It was proved that velocity-dependent infinitesimal symmetry transformations of nonholonomic systems have a characteristic functional structure, which could be formulated by means of an auxiliary symmetry transformation function and is manifestly dependent upon constants of motion of the system. An example was given to illustrate the applicability of the results.

KW - analytical mechanics

KW - characteristic functional structure

KW - constant of motion

KW - nonholonomic system

KW - velocity-dependent infinitesimal symmetry transformation

UR - https://www.scopus.com/pages/publications/84868003680

U2 - 10.1007/s11741-005-0065-3

DO - 10.1007/s11741-005-0065-3

M3 - 文章

AN - SCOPUS:84868003680

SN - 1007-6417

VL - 9

SP - 134

EP - 138

JO - Journal of Shanghai University

JF - Journal of Shanghai University

IS - 2

ER -

Characteristic functional structure of infinitesimal symmetry transformations for nonholonomic system

Abstract

Keywords

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