Open AccessStability of the equilibrium state in relativistic Birkhoff systems*
Author(s) -
Fu Jing-Li,
Liqun Chen,
Yun Xiao,
Luo Shao-Kai
Publication year - 2002
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.51.2683
Subject(s) - state (computer science) , stability (learning theory) , thermodynamic equilibrium , mathematics , physics , classical mechanics , thermodynamics , computer science , algorithm , machine learning
The stabilities of the equilibrium state in relativistic Birkhoff autonomous systems, relativistic Birkhoff semiautonomous systems and relativistic Birkhoff nonautonomous systems are studied .The equilibrium state equations are given. The disturbance equation and the first approximate equation are established. The stability criteria for the equilibrium state are obtained. The relationship between the stabilities of the equilibrium state in relativistic Birkhoff systems and classical Birkhoff systems is discussed. Several examples are presented to illustrate the results.