Open AccessRouth method of reduction of Birkhoffian systems
Author(s) -
Yi Zhang
Publication year - 2008
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.57.5374
Subject(s) - reduction (mathematics) , mathematics , differential (mechanical device) , motion (physics) , differential equation , control theory (sociology) , mathematical analysis , classical mechanics , computer science , physics , geometry , control (management) , thermodynamics , artificial intelligence
Reduction of Birkhoffian systems is studied. First, the differential equations of motion for the Birkhoffian systems are established and their cyclic integrals are given. Second, the Routh functions of Birkhoffian systems are constructed, and the order of the systems is reduced by using the cyclic integrals and the Birkhoffian form made to hold. Finally, an example is given to illustrate the application of the results.