Open AccessConserved quantity and stability of Birkhoffian system
Author(s) -
Xu Zhi-Xin
Publication year - 2005
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.54.4971
Subject(s) - conserved quantity , stability (learning theory) , liapunov function , function (biology) , physics , classical mechanics , control theory (sociology) , computer science , biology , quantum mechanics , nonlinear system , evolutionary biology , control (management) , machine learning , artificial intelligence
It is showed that Stability of Birkhoffian system can be determined by its conserved quantities. If a conserved quantity or a combination of some conserved quantities became a Liapunov function,then it can be used to study the stability of equilibrium and the stability of motion of the system.