Open AccessThe method of undetermined tensor for constructing Birkhoffian functions
Author(s) -
Cui Jin-Chao,
Duan Song,
YongXin Guo
Publication year - 2012
Publication title -
wuli xuebao
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.