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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

10 Citations (Scopus)

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.

Original language	English
Article number	054501
Journal	Chinese Physics B
Volume	24
Issue number	5
DOIs	https://doi.org/10.1088/1674-1056/24/5/054501
Publication status	Published - 1 May 2015

Keywords

Bifurcation
Generalized Birkhoffian system
Gradient system
Stability

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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.",

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KW - Gradient system

KW - Stability

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Bifurcation for the generalized Birkhoffian system

Abstract

Keywords

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