A new type of conserved quantity deduced from conformal invariance in nonholonomic mechanical system | Zendy

Wang Ting-Zhi | Zendy; Sun Xian-Ting | Zendy; Han Yue-Lin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A new type of conserved quantity deduced from conformal invariance in nonholonomic mechanical system

Author(s) -

Wang Ting-Zhi,

Sun Xian-Ting,

Han Yue-Lin

Publication year - 2014

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.63.090201

Subject(s) - nonholonomic system , conformal symmetry , conserved quantity , conformal map , symmetry (geometry) , physics , function (biology) , mathematical physics , classical mechanics , gauge (firearms) , mechanical system , type (biology) , gauge theory , mathematical analysis , mathematics , computer science , geometry , biology , robot , materials science , artificial intelligence , ecology , evolutionary biology , mobile robot , metallurgy

Conformal invariance and a new type of conserved quantity in nonholonomic mechanical system are studied. The definition and determining equation of conformal invariance for the nonholonomic mechanical system are provided; and the necessary and sufficient conditions that the conformal invariance for a nonholonomic mechanical system should be of Lie symmetry are deduced. With the aid of a new structure equation that the gauge function satisfies, the system's corresponding new conserved quantity is obtained. Finally an example is given to illustrate the application of the results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research