Bifurcation for the generalized Birkhoffian system

Feng Xiang Mei; Hui Bin Wu

doi:10.1088/1674-1056/24/5/054501

Bifurcation for the generalized Birkhoffian system

Feng Xiang Mei, Hui Bin Wu^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

The system described by the generalized Birkhoff equations is called a generalized Birkhoffian system. In this paper, the condition under which the generalized Birkhoffian system can be a gradient system is given. The stability of equilibrium of the generalized Birkhoffian system is discussed by using the properties of the gradient system. When there is a parameter in the equations, its influences on the stability and the bifurcation problem of the system are considered.

源语言	英语
文章编号	054501
期刊	Chinese Physics B
卷	24
期	5
DOI	https://doi.org/10.1088/1674-1056/24/5/054501
出版状态	已出版 - 1 5月 2015

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Mei, F. X., & Wu, H. B. (2015). Bifurcation for the generalized Birkhoffian system. Chinese Physics B, 24(5), 文章 054501. https://doi.org/10.1088/1674-1056/24/5/054501

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abstract = "The system described by the generalized Birkhoff equations is called a generalized Birkhoffian system. In this paper, the condition under which the generalized Birkhoffian system can be a gradient system is given. The stability of equilibrium of the generalized Birkhoffian system is discussed by using the properties of the gradient system. When there is a parameter in the equations, its influences on the stability and the bifurcation problem of the system are considered.",

keywords = "Bifurcation, Generalized Birkhoffian system, Gradient system, Stability",

author = "Mei, {Feng Xiang} and Wu, {Hui Bin}",

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AU - Wu, Hui Bin

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N2 - The system described by the generalized Birkhoff equations is called a generalized Birkhoffian system. In this paper, the condition under which the generalized Birkhoffian system can be a gradient system is given. The stability of equilibrium of the generalized Birkhoffian system is discussed by using the properties of the gradient system. When there is a parameter in the equations, its influences on the stability and the bifurcation problem of the system are considered.

AB - The system described by the generalized Birkhoff equations is called a generalized Birkhoffian system. In this paper, the condition under which the generalized Birkhoffian system can be a gradient system is given. The stability of equilibrium of the generalized Birkhoffian system is discussed by using the properties of the gradient system. When there is a parameter in the equations, its influences on the stability and the bifurcation problem of the system are considered.

KW - Bifurcation

KW - Generalized Birkhoffian system

KW - Gradient system

KW - Stability

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JO - Chinese Physics B

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Bifurcation for the generalized Birkhoffian system

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