The method of undetermined tensor for constructing Birkhoffian functions | Zendy

Cui Jin-Chao | Zendy; Song Duan | Zendy; YongXin Guo | Zendy

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The method of undetermined tensor for constructing Birkhoffian functions

Author(s) -

Cui Jin-Chao,

Song Duan,

YongXin Guo

Publication year - 2012

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.61.244501

Subject(s) - tensor (intrinsic definition) , mathematics , computer science , partial differential equation , differential (mechanical device) , mathematical analysis , physics , pure mathematics , thermodynamics

The method of constructing Birkhoffian and Birkhoffian funcations of mechanical system is studied. Based on the conditions of self-adjointness and integrability conditions of linear partial differential equations, a method of undetermined tensor for constructing Birkhoffian and Birkhoffian funcations of mechanical systems is given. Two examples are given to illustrate the application of the results.

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