Stability for the equilibrium state manifold of relativistic Birkhoffian systems

Jing Li Fu; Li Qun Chen; Yi Luo; Shao Kai Luo

doi:10.1088/1009-1963/12/4/301

Stability for the equilibrium state manifold of relativistic Birkhoffian systems

Jing Li Fu^*
, Li Qun Chen
, Yi Luo
, Shao Kai Luo

^*Corresponding author for this work

Shangqiu Normal University
Shanghai University
Kunming University of Science and Technology
Changsha University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

In this paper, the stability of equilibrium state manifold for relativistic Birkhoffian systems is studied. The equilibrium state equations, the disturbance equations and their first approximation are presented. The criteria of stability for the equilibrium state manifold are obtained. The relationship between the stability of the equilibrium-state manifold of relativistic Birkhoffian systems and that of classical Birkhoffian systems is discussed. An example is given to illustrate the results.

Original language	English
Pages (from-to)	351-356
Number of pages	6
Journal	Chinese Physics
Volume	12
Issue number	4
DOIs	https://doi.org/10.1088/1009-1963/12/4/301
State	Published - 2003
Externally published	Yes

Keywords

Birkhoffian systems
Equilibrium state
Manifold
Relativity
Stability

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10.1088/1009-1963/12/4/301

Cite this

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title = "Stability for the equilibrium state manifold of relativistic Birkhoffian systems",

abstract = "In this paper, the stability of equilibrium state manifold for relativistic Birkhoffian systems is studied. The equilibrium state equations, the disturbance equations and their first approximation are presented. The criteria of stability for the equilibrium state manifold are obtained. The relationship between the stability of the equilibrium-state manifold of relativistic Birkhoffian systems and that of classical Birkhoffian systems is discussed. An example is given to illustrate the results.",

keywords = "Birkhoffian systems, Equilibrium state, Manifold, Relativity, Stability",

author = "Fu, \{Jing Li\} and Chen, \{Li Qun\} and Yi Luo and Luo, \{Shao Kai\}",

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T1 - Stability for the equilibrium state manifold of relativistic Birkhoffian systems

AU - Fu, Jing Li

AU - Chen, Li Qun

AU - Luo, Yi

AU - Luo, Shao Kai

PY - 2003

Y1 - 2003

N2 - In this paper, the stability of equilibrium state manifold for relativistic Birkhoffian systems is studied. The equilibrium state equations, the disturbance equations and their first approximation are presented. The criteria of stability for the equilibrium state manifold are obtained. The relationship between the stability of the equilibrium-state manifold of relativistic Birkhoffian systems and that of classical Birkhoffian systems is discussed. An example is given to illustrate the results.

AB - In this paper, the stability of equilibrium state manifold for relativistic Birkhoffian systems is studied. The equilibrium state equations, the disturbance equations and their first approximation are presented. The criteria of stability for the equilibrium state manifold are obtained. The relationship between the stability of the equilibrium-state manifold of relativistic Birkhoffian systems and that of classical Birkhoffian systems is discussed. An example is given to illustrate the results.

KW - Birkhoffian systems

KW - Equilibrium state

KW - Manifold

KW - Relativity

KW - Stability

UR - https://www.scopus.com/pages/publications/1642520142

U2 - 10.1088/1009-1963/12/4/301

DO - 10.1088/1009-1963/12/4/301

M3 - 文章

AN - SCOPUS:1642520142

SN - 1009-1963

VL - 12

SP - 351

EP - 356

JO - Chinese Physics

JF - Chinese Physics

IS - 4

ER -

Stability for the equilibrium state manifold of relativistic Birkhoffian systems

Abstract

Keywords

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