Stability of the equilibrium state in relativistic Birkhoff systems* | Zendy

Fu Jing-Li | Zendy; LiQun Chen | Zendy; Xue Yun | Zendy; Luo Shao-Kai | Zendy

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Stability of the equilibrium state in relativistic Birkhoff systems*

Author(s) -

Fu Jing-Li,

LiQun Chen,

Xue Yun,

Luo Shao-Kai

Publication year - 2002

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.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.

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